There's been claims Keylor is fed-up with Perez seeking a new goalkeeper signing.
But at a function on Sunday, the president said: “That this supporters group has named Keylor Navas as an honorary member is a great gesture.
"Keylor, you have won the love and affection of everyone in Madrid. You have done that through talent, professionalism and by your comportment; because you have identified with Real Madrid's values. We are very proud to have you as our goalkeeper, regardless of what others might say. Keep working hard and I'm sure that you will be with us for many years to come."