Zaha is off contract in June and refusing to consider new contract talks with the Eagles.
And watching developments are Juve, reports the London Evening Standard, which can now negotiate pre-contract terms with the Ivory Coast international.
Also interested are Barcelona, which have been working the Bosman market, and like Juve are willing to compete for Zaha.
The 30 year-old sees this as his last chance to make the move to a Champions League club.