The 26-year-old still feels aggrieved at his old coach for overlooking him in his search for someone to replace Spain captain Iker Casillas in January
The 26-year-old, whose contract at the Santiago Bernabeu was terminated on Monday, was understudy to the Spain captain for much of his three-year stint in the Spanish capital.
However, the former Blancos stopper admits he thought he was set for a spell in the first team following a hand injury to Casillas and has blasted Mourinho for looking elsewhere to replace the 31-year-old.
He told la Sexta: "When Iker got injured, I was deprived of the right to play for Real Madrid. The press disrespected me.
"I trained normally, without knowing anything about Diego Lopez. I learned of his signing through the media.
"I would have loved for [Jose] Mourinho to have explained that signing. When Iker was injured, I could have come in as I had already proven myself.
"I had many ups and downs and there were hard times because they told me and I was prepared psychologically."
Adan made 17 appearances for Real Madrid throughout his time in the senior team.