However, the Premier League giants have been told that the 19-year-old is not for sale by Palace boss Dougie Freedman.
Freedman has put together a young squad at Selhurst Park, with Zaha seen as the most talented youngster at the club. Palace have recently tied the forward to a new long-term contract; however that has not stopped the speculation of a January exit.
"But he is not going anywhere."
Zaha was part of the Palace side that knocked Manchester United out of the Carling Cup.