Zaha may well have been open to a move to Tottenham, but Palace's asking price of at least £70m will have put off Spurs chairman Daniel Levy, who is famous for his lowballing in the transfer market.
The forward is being chased by Chelsea, but Palace are unwillingly to part with one of their most influential players.
The Ivory Coast worldwide was even awarded Player of the Year by Crystal Palace supporters - for a record third successive season.
The Blues have one other advantage over other suitors.
Zaha has found his mojo once again since returning to Crystal Palace from Manchester United in the summer of 2015.
Chelsea offre un pont d or à N Golo Kanté
Le Français deviendrait alors le joueur le mieux payé du vestiaire de Stamford Bridge devant notre compatriote Eden Hazard . Le champion de France fait une cour assidue à N'Golo Kanté depuis de nombreux mois.
He is settled in London and showed his ability last campaign by hitting nine goals and providing three assists for Roy Hodgson's side.
So determined is the 25-year-old to make a transfer, the report claims that the Ivory Coast worldwide is considering lodging an official transfer request, with Palace having told him they would only consider an "irresistibly huge offer".
The now 25-year-old played a key role in keeping them in the Premier League last season.
Zaha has already rejected the offer of an improved contract in a bid to force a move to a top six club.
Tottenham were interested in signing Zaha this window, but have chose to pursue Aston Villa's Jack Grealish instead.