"That's why I will speak with him when he gets back and see what's up", Perez told Spanish radio Onda Cero late Monday.
However, the Real Madrid chief has now poured cold water on reports linking Manchester United with a move for Morata by insisting that the Spanish side have not yet received any offers.
"I will talk with him when the Confederations Cup has finished".
He continued: "No one at the club wants Morata to leave and I haven't heard the player asking to leave".
The 32-year-old is now away with Portugal at the Confederations Cup in Russian Federation, where he has so far evaded questions over his future - including skipping the traditional man-of-the-match press conference after Sunday's draw with Mexico.
But Los Blancos president Perez claims bitter rivals Real nearly beat the Catalans to the punch.