The 27-year-old has consistently been linked with a move to Stamford Bridge, with Frank Lampard desperate to bolster his attack in the January transfer window.
Zaha still has three years to run on his current Palace deal and will not be allowed to depart Selhurst Park on the cheap, with the Eagles wanting £80million for the winger.
But journalist Duncan Castles has suggested palace could be tempted to sell him if they get their hands on Yannick Carrasco, amid reports claiming they are in talks over a loan deal for the former Atletico Madrid man.
“We know Zaha wants out of Crystal Palace, we know that a number of agents have had mandates to move him in this window,” Castles said on the Transfer Window podcast.
“We know he is being pushed to Chelsea and there is interest from Chelsea’s hierarchy in taking him.
“My information is that Palace want to hold onto Zaha for the rest of the season for understandable reasons because he is the centre point of their attack.
“But I think they are savvy enough to realise the pressure from the player’s side to obtain a move is such that if one of those big clubs, who can afford to pay a proper transfer fee for him and Palace have been asking for £80million or more for the player and can afford to push his wages to a level of about £200,000-a-week, do come in with an offer it’s going to be very hard for them to retain him.
“So what they are doing here is giving themselves a degree of insurance in that they would have another player in the squad with the ability to operate in a similar fashion to Zaha, create and score goals for them from the left.
“The line is that they want two attacking talents of his type in their squad and the plan is to have both of those for the rest of the season.
“But I think there’s a clear connection to Zaha here and if and when they get Carrasco in this window, it will change the picture somewhat for how Zaha’s future pans out, either in the remainder of this window or in the summer.”
Palace are in talks with Chinese Super League side Dalian Yifang over a loan deal for Carrasco this month, reports Sky Sports.