It's a temp control....some call them thermostats as well.Can't seem to pull up the model you referenced, so I can't help you on parts. Are you certain the model is correct and this is an American product?
It's a Frigidaire made by Electrolux
Quote It's a Frigidaire made by ElectroluxOK, but does the model tag indicate the place of manufacture?
The part itself ain't too hard to replace.