The winger, 20, was photographed appearing to make an offensive gesture towards visiting supporters during the 2-2 draw at Selhurst Park.
Zaha, who in January agreed a move to Leeds' traditional rivals Manchester United, later apologised for his actions on Twitter.
He wrote: "I...wanted to apologise for the gesture I did towards the Leeds fans in yesterday's game. Very unprofessional from me."
- Sports & Recreation