It can be called a team game if you are playing on a team, where the results of the group can be more important than the results of an individual player.
But one-on-one isn't a team game. The pieces aren't involved in making decisions or plans and certainly can't act independently.
Now, if you talk to the pieces and they tell you where they want to go, then maybe it is a team game 
Extract from J.Silman's Complete Book of Chess strategy : "It is important to DEVELOP your whole army. Note the word "whole." Some players get a few pieces out and launch an attack. The correct way to play chess is to develop each and every piece (chess is a team game!), get your King safely castled, and only then begin more aggressive maneuvers. "
What about that?
I say he used an analogy to get his point across. Chess isn't a team game in any traditional meaning of team.
It can be called a team game if you are playing on a team, where the results of the group can be more important than the results of an individual player.
But one-on-one isn't a team game. The pieces aren't involved in making decisions or plans and certainly can't act independently.
Now, if you talk to the pieces and they tell you where they want to go, then maybe it is a team game
I liked your last point. Wish it was like that.
Then you play football
Foosball?
it is both if played with other PEOPLE to win WITH EACH OTHER then it is but it is no traditionally especial cuz pieces cant exert anything mental or physical independently
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Chess is usually called as an individual game as there is only one player playing. But it could be called a team game because there are various pieces in a board which coordinate together to win a game?
What do you think about it?