The path has now been cleared for an expected return to Chelsea for the colorful and outspoken coach.
But it's believed the recently crowned French league champions are reluctant to release him a year before his contract expires.
Ancelotti ducked questions about his future on Friday, saying he had not made his decision then.
Mourinho, who has a contract until June 2016, said he would sit down with Perez after Real's final two La Liga matches to decide whether he will continue.
Mourinho described his season as "the worst of my career" following his side's 2-1 Copa del Rey final defeat by Atletico Madrid at Bernabeu.
With the win on Friday night, Atletico Madrid ended a 14-year winless run against their city rivals.
Real Madrid coach Jose Mourinho can go out a winner when his team plays crosstown rivals Atletico Madrid in the final on Friday.
Ramos dodged one or two tricky questions with a big grin and polite refusal to answer.
Some up and downs in the career of David Beckham, who said on Thursday he would retire from football at the end of the season.
Mourinho faces ending a season without a major trophy for the first time in a decade if his Real Madrid side fail to beat city rivals Atletico Madrid in the King's Cup final.
Paris St Germain have rejected a bid by Real Madrid to hire coach Carlo Ancelotti, club president Nasser al Khelaifi said.