How to save a game against a bot on Chess.com
Web
To save your game against a computer personality, simply click 'Save Game' at the bottom of the page after finishing the match.
Alternatively, running a Game Review or sharing the game will automatically save it to your archive.
Your game will appear in your archive and recently completed games, just like any other. You can identify a computer game by the 'Computer' icon displayed next to it:
If you don't save your computer game, the game record will be lost when you exit the screen and cannot be recovered.
Mobile
Once the game is over, tap the 'X' in the upper right of the results window to close it:
Tap the 'Options' icon on the bottom left of the screen and select 'Save Game' from the pop-up menu
On Android devices, you will have the option to 'Add to archive'
On the iOS app, you can also save a game to your archive by running the game review or sharing the game. On Android, you can only save the game by following the steps above.
How to delete saved games against the computer
To delete a bot game, open it from your archive and click the trash can 'Delete Game' icon at the bottom of the screen.
You can only delete your saved games against the computer on the Chess.com website and not on the mobile apps.