Shouldn't be a problem. There are cheap-ish disc repair kits containing some fluid in a tube and a piece of tissue; the one I bought some months ago worked perfectly fine and it was also useful for repairing the display of my old mobile phone.
When I put a CD
somewhere else than its cover, I always put them on the reflecting side - the data is on the printed side, so I'd be screwed if that got scratched. Scratches on the reflecting side can be repaired.
Don't cry because it's over, smile because it happened.