You can download the latest app version here http://apk-dl.com/chess-play-learn/com.chess and transfer it to your phone for installation after scanning it for viruses etc. Before installation, you'll have to 'enable' Unknown Sources under Settings>Security on your phone. Once the app is installed, you can disable Unknown Sources.
China app store
In China you can't download this app in google app store ,but you can download it in another way.
open the website https://play.google.com and search app which you want to download then copy the url to https://apkpure.com/
I'm Chinese and I have a Chinese Android phone. The google play app store is blocked in China and I can only download apps on a different app store made by my phone manufacturer 'meizu'. I found the chess.com app here but it keeps telling me the version is old and not supported. What should I do?