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."
It would be good to see Leeds make it to the Prem just for the banter.......oh, yeah, Cardiff....20 points. Just can't see you ever making it, though with your new money, maybe you'll be just as crass as City.- norvennah