A coach may not be necessary, but does it make sense to call someone pretentious for wanting human assistance?
How to select best chess coach?

I don't understand why anyone thinks you need to be a certain rating before you get some lessons. What sport doesn't recommend getting a coach apart from chess? None.
Some people are too much beginners where they dont even know K+P vs K oppositions etc.
For those people it will takes 100- 200 hours of work to get basic chess concepts.
1. Will you pay $50 x200 = $10000 to learn chess?
2. Do you think it is necessary to hire a master level math teacher to teach 2x5=10, 2^2=4?
Nice straw man fallacies there mate.
100- 200 hours? Where do you get those numbers from? What relevance has that to whether someone needs a coach or not?
Even if your numbers aren't pulled out of the air and are true, only the truly stupid would equate that to needing that amount of coaching hours. Have you ever heard of practicing in your own time when you aren't being taught? Just like homework at school, or taking a ball to the park for a kick around. Quality instruction combined with practice works.
So to answer your first question: No. But it's a stupid question.
What relevance has the level of the teacher got to do with the OP question? He asked how to select a coach. You are arguing that one doesn't need a master level coach. No one said that that in the first place.

No other way to learn chess but to learn endgame...I Invite you to watch and learn my YouTube Chess Channel...its free to subscribe......FM Jesse
www.youtube.com/channel/UC19el2OO2z-aWnLlyuu8ToQ
Cheers...I hope my YouTube Chess Channel would be of help to improve your chess skills to attain much higher rating....kindly subscribe its free...just press click....FM Jesse
Did I ever say that I imagined that everyone believes that?
Did spongey say you said you imagined everyone believed that? Phew.
Sponge bunny in action
How many sports actually do recommend getting coaches? Not that many.
Over here, its called 'babysitting'. Anything but the truth in all areas of education. Everyone claims their kid is special, thats why they want to dump them somewhere.
I know there are many chess coach in coaches section but how do I know who is better in terms of understanding and explaining and importantly decent budget. ...
You don't need a coach. That's just pretension.
I don't see any reason to presume "pretension". Chess can seem pretty intimidating at the beginning, and it is understandable if one has an instinct to seek help from human interaction (especially if one is in a position to be able to afford it). I do agree that alternatives are likely to be cheaper and more efficient.
Coaches are for prodigies...not real people.
You imagine that everyone believes that?
Did I ever say that I imagined that everyone believes that?
Something you did write: “... That's just pretension.”
… For those people it will takes 100- 200 hours of work to get basic chess concepts.
1. Will you pay $50 x200 = $10000 to learn chess? ...
A coach may not be necessary, but does it make sense to call someone pretentious for wanting human assisistance?
Why would it not be pretentious?
Is it appropriate to accuse someone of being pretentious without a clear explanation?
If @kindaspongey doesn't get answers, he's gonna quote every post ever made in this thread. Help! Somebody answer him!!!! Before it's too late!!!! The bunny's paws were just not made to scroll through his posts!
How many sports actually do recommend getting coaches? Not that many.
"... I’ve known many very low-rated chess teachers who are absolutely excellent. Teaching is a skill, and even if you’re rated 1500, you might be just what the doctor ordered for children or beginners of any age. …"
https://www.chess.com/article/view/can-anyone-be-an-im-or-gm
I know there are many chess coach in coaches section but how do I know who is better in terms of understanding and explaining and importantly decent budget. ...
... getting a coach (when you're not too far beyond beginner status) is quite pretentious.
I don't see any reason to presume "pretension". Chess can seem pretty intimidating at the beginning, and it is understandable if one has an instinct to seek help from human interaction (especially if one is in a position to be able to afford it). I do agree that alternatives are likely to be cheaper and more efficient.

I just noticed that @kindaspongey claims to have a USCF rating of 1500. I wonder what sort of DeLorean we need to use to find out when and where he played.

Because he has posted his rating, does that mean he's making some sort of claim...?
Completely apropos of nothing, I just found this weird graph from a tournament I played in last month. It wasn't USCF rated, and the ratings used aren't really indicative of the playing strength of the participants. For example, the person who finished 4th has a USCF standard rating of 2419. Gunnar is the Colorado State Champion (in blitz and standard chess), Daniel is the Kansas Blitz champion, and Josh is the New Mexico Champion (standard time control) and former CO champion. Oh, and Rhett is the current Denver Blitz champion.
https://www.facebook.com/ChessWeeknightsCOS/photos/a.1539210989559449/1539238799556668/?type=3&theater

You can learn a lot by watching YouTube videos........ lotsa great guys teach on there And it's free
if you want to get better at chess then play chess. if you want to get good at watching chess then watch videos
There were no videos when I was beating SARGON on level 10 at the age of 14....... Read all the books available to me, fischer, spassky, Marshall...... so I stopped playing after I mastered the invisible pieces portion of the SARGON ms-dos disc. Stopped playing for over a decade...... If there were videos to watch I'd probably be over 2000 by now, instead...... I suck at 1300

At 14, I was at the height of my chess career...... My father who'd been playing me for 11 years couldn't beat me anymore.
My SARGON computer chess game had 10 levels...... It could not beat me anymore. I then turned to blindfold chess on SARGON and it still could not beat me.
I never said I was a genius, but I guess with my 165 IQ you could say that, but I didn't.
All I was saying is, now someone with promise like myself wouldn't stop playing over a decade and lose their chess advantage. I think I start playing chess again 18 or 19 years later. So, as I was saying for the 3rd time... If only there was ONLINE CHESS when I was a 14 year old, I would have kept playing and would have stayed sharp.

I never said I was a genius, but I guess with my 165 IQ you could say that, but I didn't.
All I was saying is, now someone with promise like myself wouldn't stop playing over a decade and lose their chess advantage. I think I start playing chess again 18 or 19 years later. So, as I was saying for the 3rd time... If only there was ONLINE CHESS [then]....
All the geniuses in the room stand UP!
News flash: there was online chess 20 years ago, and it was free.
please leave the genius alone. we don't want to scare them off as there's so few of them. and they all seem to be on chess.com.

Being Chess Coach:
Guide them til they get higher ratings, beating IM and GM is the main purpose...
You need to create this:
1. Mission Vision
2. Goals
3. Timetable
4. Chess preparation
5. Budget -Financials for chess books, chess engine, chess database and tournament participation (FIDE Rated)
www.youtube.com/channel/UC19el2OO2z-aWnLlyuu8ToQ
I don't understand why anyone thinks you need to be a certain rating before you get some lessons. What sport doesn't recommend getting a coach apart from chess? None.
Some people are too much beginners where they dont even know K+P vs K oppositions etc.
For those people it will takes 100- 200 hours of work to get basic chess concepts.
1. Will you pay $50 x200 = $10000 to learn chess?
2. Do you think it is necessary to hire a master level math teacher to teach 2x5=10, 2^2=4?