The 21-year-old insists he has never told Calderon that he would join Real.
The former Barcelona youngster is contracted to Arsenal until 2014.
“It’s true the president of Real Madrid called me personally – we spoke on the phone,” Fabregas admitted in El Mundo.
“But I never gave him my word that I was going to sign for Real Madrid. He asked about my progress and that was it.
“I have not given him nor anyone else the expectation that I will join them. The same goes for anyone who represents me.
“I am a person of my work and I can assure you that I have never given any club reason to believe that I would leave Arsenal.
“Nobody can say that they have agreed with me that I become part of their project. That is clear.
“It is an incredible compliment that two of the most important clubs in the world are interested in you, but I am an Arsenal player and have a contract with them until 2014.”