Speculation over Ronaldo's future is set to be broached later on Monday by Real president Perez, who stood unopposed for re-election this month and will now continue at the head of the European and Spanish champions until 2021.
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.
Perez's radio interview came hours after the 70-year-old businessman was reelected to a fifth four-year term as Madrid's president.
He spent the first six years of his career with Manchester United before joining Real Madrid for the 2009-10 season.
Portuguese sports daily A Bola also claimed that Perez had already been informed of the 32-year-old's decision.
Bayern's name was mentioned but chief executive Karl-Heinz Rummenigge has now taken to the club's official website to put the story to bed.
"As a rule, we do not comment on these rumours".
He has won three UEFA Champions League titles with Real Madrid, all three of them coming within the last four years.
Perez's opponents have criticised reforms in the club statutes which have toughened criteria for aspiring candidates.