Ronaldo, 33, ended his nine-year spell at Madrid in the off-season to join Juventus in a club-record sale.
In the wake of the sensational €100m deal, it was reported a rift with Perez over a new contract cause the five-time Ballon d'Or winner to seek greener pastures.
Real opted to allow Ronaldo to leave with the parting statement that he desired a 'new challenge'.
"He is the worthy successor of Alfredo Di Stefano, he is the player who has scored more goals in the history of Madrid.
"And I think that he is one of those players who will be in the hearts of the Real Madrid fans and will [be remembered] from generation to generation.
"He is one of those that one day will come back."