A source purportedly close to Cole was quoted as saying the England international was desperate to quit The Blues in search of more regular first team football.
But Mourinho is refusing to give the stories any credence and feels he does not even need to speak Cole about the matter.
“For me, it’s rubbish journalism because, when you do a back page with an interview from nobody, I don’t understand that,” said Mourinho.
“Who is the guy in the interview? A source of a friend of a friend of a friend. I think it’s unbelievable.
“I have never seen this before in my life. A friend or source close to the friend of a player makes the back page — it’s amazing.
“I cannot speak to the player about this, it’s impossible.
“Cole was always very open to me. He was in my office last season 10 times, knocking on my door saying ‘please can I speak with you, please why am I not playing, what can I do to improve?’ He is always so open to me that I cannot comment.
“I feel it’s ridiculous.”