The Real Madrid chief says Los Blancos are yet to receive any offers for the Argentine striker and advises that bids must be above the £25 million mark
The Argentina international has publicly insisted he will leave the Bernabeu this summer, with Arsenal and Juventus both keen on adding the 25-year-old to their ranks.
Goal understands the Gunners have made an enquiry for Higuain as they wait to begin negotiations with Everton midfielder Marouane Fellaini, and are willing to break the £20 million barrier to secure the striker.
Meanwhile, the Italian champions are also in the hunt for the Argentina international, with club officials reportedly preparing to table a €22m (£18.7m) bid.
However, Perez has warned that such an offer would not even be given time of day in the Spanish capital.
He told Mediaset: "If Juventus are thinking about offering €30m for him then it would be better if they don’t even turn up because that will not be enough.
"But we have not yet received any offers for Gonzalo and that is including Juventus."