The Cote d'Ivoire international in his second game since his return from a knee injury made way for Ruben Loftus-Cheek in the 77th minute of the encounter.
A week earlier, Zaha was the hero against Chelsea after scoring the decisive goal that earned the Selhurst Park’s outfit their first league victory this term.
His coach has however lifted the lid over the decision to withdraw his key man.
“Wilf wants to play every minute of every game,” Hodgson told Evening Standard.
“But he was tiring because we asked a lot of him and Andros [Townsend] up front.
“They work very hard to create for us and also to defend for us.
“Ruben can cause a threat coming from deep and we thought it might be a good idea to give Wilf a rest and get fresh legs on.”
Palace are at the base of the log with three points from nine matches and will square up with West Ham in their next league match.