On your MyGames page, click the Archive button next to the game and it will be moved from Inbox to Archive.
You can't remove it from "all games" because it can't actually be deleted from the database. You're only a part-owner of the game, naturally.
@nickoldsrsesaid Where is the my games history I use to be able to see all the moves that were made?
If you open a game, there is a game history on the right tab of the right side menue (on the browser)
It is in "Game Analysis" on the upper right menue on the Android app.