The Ivory Coast international has been in scintillating form since returning from injury and has four goals to his name this season.
But Roy Hodgson is determined to keep hold of him until at least the end of the season as Palace fight relegation, according to the Independent.
Zaha has flourished at the Eagles since an ill-fated spell at Old Trafford saw him make just four appearances in a Manchester United shirt.
He is now set for a move back to a top side, with half of the top six ready to battle for his signature.
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