The Mirror says Palace have made an enquiry for Bell.
Promising left-back Bell has impressed since joining League One Fleetwood ahead of last season.
He has been a league ever present for Uwe Rosler's promotion hopefuls this term.
As well as Palace, Aston Villa, Norwich, Brighton and Derby are also keen on Bell.
He has 18 months left on his Fleetwood deal and is focused on trying to help them clinch a top six spot. But with interest in him mounting he could have a decision to make this month.