Reports have suggested Fulham and Bolton are two of several clubs interested in signing Zaha, with Manchester United thought to be open to the idea of loaning the England Under-21 international.
Zaha, who signed for United last January but was immediately loaned back to Crystal Palace, has made just one appearance for the Red Devils in the Community Shield this term.
Jol has ruled out any swoop for Zaha, feeling he has enough options out wide in his squad.
"No," Jol said, when asked about reports of a bid. "He did very well actually in pre-season so there was no reason to make an enquiry about him.
"I feel that, on the flank, we are OK. We've got five or six... a few options.
"I told [Ashkan Dejagah] a couple of weeks ago, 'I want you to be the number one' but of course I want Duffers [Damien Duff] to be the number one, I want Bryan [Ruiz] to be the number one."
Freedman, who worked with Zaha during his time in charge of Crystal Palace, also played down the prospect of being reunited with the winger, albeit with his tongue in his cheek.
"He's coming into the building right now, doing his medicals and we're signing him permanently," joked Freedman. "People gossip and things get out - but they are putting two and two together because I had him at Crystal Palace.
"There has been no contact between me and David Moyes on Zaha and no contact between me and the chairman on bringing Zaha here."