I had a similar problem with an Electrolux refrigerator, which I think is just a Frigidaire under a different brand name. Specifically, I had to remove the lower inner panel to replace a gasket but could not find any way to do so (no screws, clips, or anything like that). I eventually tried inserting a butter knife into the gap between the panel and the door proper and, very slowly, peeling away the panel. It seemed like a really sloppy way to do it (lots of scary cracking of the styrofoam inside), but it worked; and, when it was over, I saw that there was really no other way to have done it (there were no hidden screws or clips anywhere).

A lousy design, if you ask me -- I would have made the panel easily removable with a couple of screws -- but we have to work with what manufacturers give us.

Good luck.