The 27-year-old completed his move to the Blues last month following three years at Barcelona.
He had been linked with a return to Arsenal, but the Gunners did not take up their first option to bring back their former captain.
"I spoke with him 20 minutes. I think he really wanted to come to us," The Mirror quotes Mourinho as saying.
"As you know Arsenal had an option to interfere. But I think he was not open for that, I think he was very much in our direction so it was an easy job for me."
Fabregas made over 300 appearances for Arsenal during his eight years with the club.