The Portugal international stunned Los Blancos chiefs earlier this summer when allegedly informing them that he wants out of the Bernabeu this summer.
Ronaldo was said to have grown upset by the way he was treated by Spanish authorities, having been accused of tax fraud totalling almost £13m.
Matters have since cooled off the pitch, but Spanish newspaper El Pais reports that the 32-year-old's future in the capital remains unclear as he has been made angry by his five-game extended ban for shoving referee Ricardo de Burgos Bengoetxea.
A source is quoted by the publication as saying: "For now, he's just concentrating on playing. He is angry about the five-game ban, but he is working just as hard with the team.
"However, we cannot guarantee whether he will stay or leave. We'll see what happens between now and August 31."