Portuguese sports daily A Bola also claimed that Perez had already been informed of the 32-year-old's decision.
Upon hearing the news, the Real boss reportedly immediately phoned his player, who is now with Portugal at the FIFA Confederations Cup in Russian Federation, to discover the real reasons behind his decision to make his intentions public.
"Not I nor anyone at Madrid is contemplating that Cristiano could leave the club".
"Ronaldo is a lot more powerful and more important than all of us who are here", he added.
"Ronaldo recalls being protected by Manchester United as a club, Sir Alex Ferguson as a manager, in a way that he's still at a loss, that he still laments".
Perez is the second most successful president in Real's history in terms of football trophies won during his tenure, behind only Santiago Bernabeu who served between 1943 and 1978 and who the club's stadium is named after.
Perez has dismissed speculation that Ronaldo is trying to put pressure on Real so that they will bear some of the burden of an eventual fine for tax evasion as Barcelona did for Lionel Messi.
Bayern President Uli Hoeness has pledged a big-name signing in the close season and Italian media had reported in recent days the German champions were interested in Ronaldo.