But fellow admirers Spurs haven't given up the fight and are ready to make their move.
Palace chairman Steve Parish has slapped a £20m price tag on the exciting winger's head.
However, Spurs are set to test the water with an offer of £5m up front with a further £5m in add-ons and hope a bigger overall package for Zaha will work in their favour.
United are expected to firm up their interest with an £8m bid.
The offers from Spurs and United are likely to spark Arsenal into action too.