How's this even a discussion? Frédéric (actually Fryderyk, but I think i read somewhere that he has used "Frédéric" as his name himself, correct me if I'm wrong) was born in Poland, like Kalafiorski already pointed out. His father was French and his mother Polish. So that makes him a Polish with French roots. What really matters though is what wonderful music he left us behind and he was one of a kind.
Some musicians spend their entire life training in music just to be able to play his songs and some don't even gain recognition for it. It makes me wonder where does such genius come from? I can barely comprehend it let alone play a fraction of his songs.