Of course you can, depends on what type of game you play, a game like "uno" you will not be able to save (whats the point?). But a game like "keflings" you will be able to save because you make progress in it.
yes when your game comes up and sais play game on the dashboard hit Y which is game options and click save to hard drive takes about 6 gigs of space must have disc to play
(("Ok- I'm assuming you have the NXE (New Xbox Experience)... if you don't, then you can't. Put the game in the tray. Go to the dashboard, and go to either My Xbox or My Games... sorry I can't...