Asensio is seriously considering quitting Real at the end of this season after seeing playing assurances broken this campaign by Perez and coach Zinedine Zidane.
Diario Gol says his minders have already informed Perez that offers are on the table for Asensio to leave - and he won't be persuaded to stay should the president carry out his plans to sign Chelsea star Eden Hazard.
Asensio sees Hazard as direct competition and after finding himself on the outer this season, the youngster can't see things improving should the Belgian arrive.
Instead, the warning has been fired at Perez that should Hazard be signed Asensio will insist he be allowed to leave.
Ironically, Chelsea are among the suitors in regular contact with Asensio's camp. Indeed, there's been claims in Madrid that his representatives have spent time in London this month checking out potential apartments and houses in preparation for a move to Chelsea.