The promising England youth player was signed by a departing Sir Alex Ferguson for almost £20million.
However, Zaha has since failed to make any sort of impact at Old Trafford, spending the back half of last season on loan to Cardiff City.
And according to the Express, the England Under-21 international has now asked Palace to take him back to London - just 18 months after agreeing to leave the Eagles.
Zaha, 21, failed to impress former Red Devils manager David Moyes, but with the Scot having left Old Trafford, some may have hoped for more from the winger.
Having spent so much on the youngster, United - and new manager Louis van Gaal - would be reluctant to let player leave for less than £10million.
The fee, however, may prove too costly for Tony Pulis and the former Stoke chief may instead look to take Zaha on loan.
Should Zaha leave the club he would join an ever-growing list of senior players who have departed for pastures new this summer.
Van Gaal has moved to replace the former stars, signing Luke Shaw and Ander Herrera.
And the Dutchman could yet seal impressive deals for Mats Hummels, Arturo Vidal and Angel di Maria.
However, luring top stars to Manchester will prove more difficult with the former Bayern boss unable to offer Champions League football for the immediate future.