The Portuguese was signed by Los Blancos in the summer of 2011 for €30m, but has struggled for consistent runs in the first team through the his two years.
For the 25-year-old, it could be a spell set to end this coming transfer window.
“From the first day I do not think I was wanted here,” Coentrao told O Jogo this week.
“Today it seems that everyone wants me to leave Real Madrid. I do not know what I have done wrong.
“We must find a solution that is good for both the club and myself, so that no one will lose out.”
The full-back was asked if he could possibly follow Mourinho to Chelsea.
“If I leave Real Madrid, I do not close the door to anyone.”
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