Zaha – who joined the Premier League champions from Palace last January for a reported £10million fee, rising to £15million pending add-ons – was initially loaned back to the Selhurst Park outfit until the end of last term.
And with the 21-year-old having made just two Premier League appearances for United this season, a loan switch back to Palace has been mooted.
"We've spoken to (United boss) David Moyes about Zaha and I don't think he's too keen on him coming back to London," Pulis told talkSPORT.
"It's not a problem for us, he's a Manchester United player.
"We don't think it's a goer, although we were very keen if there was a possibility to take him on."
"There are irons in other fires and we're working hard to bring other players in," he added.
"It's what we need to do. I said when I came here that this window was important.
"If we can have a good window, that gives us a better opportunity of staying up."
