[Help!] Mounting acoustic foam to door

Hey all, to sum it up, I'm trying to find a way to mount some acoustic foam to my door without messing up the paint or using screws/nails. My first thoughts were some sort of hanging solution that would hang from the top of the door and allow for something to be attached to it, however have been unable to find anything of the sort. Any ideas?
Edit: I'm not huge into DIY so forgive me if some things that are suggested are a little above my head!