Palace manager Roy Hodgson expects Zaha to stay on this season.
However, the 25-year-old attacker has been tipped for a move again this summer after rejecting an improved £125,000-a-week contract and the Ivory Coast global has attracted interest from the upper echelons of the league with Tottenham and Chelsea linked in recent months.
The Ivory Coast worldwide is adored by fans at Selhurst Park having played nearly 150 games for the club in two stints in south London.
Whether Chelsea move nearer to their valuation will depend on the future of Willian, who came close to joining Barcelona this summer and has also been linked with a move to Manchester United. His improvement over the last three seasons has been so astounding that he is now considered to be among the best attacking players in the Premier League.
Tottenham were interested in signing Zaha this window, but have made a decision to pursue Aston Villa's Jack Grealish instead.
But the 25-year-old has rejected an offer to boost his wages to £125,000-a-week.
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Set to celebrate a move to Chelsea?
Should Chelsea land the Ivorian's signature, he would become their third signing of the window after Jorginho and Rob Green joined the club.
Crystal Palace are reluctant to sell their star man so close to the deadline, however, and value Zaha at around £70million.
Shockingly though, Zaha has told his teammates that there is "an offer for him to leave Selhurst Park", which reads as a major blow to Palace supporters.
Chelsea are ready to make a decision on whether or not to step up their interest in Wilfried Zaha this summer as part of a transfer meeting at Stamford Bridge. An interesting next few days beckon.