The 23-year-old has joined Rio Ferdinand, Paul Scholes and Edwin van der Sar on a course to become a UEFA-qualified coach, according to the Sunday Mirror.
The trio have the blessing of United manager Sir Alex ferguson, according to the newspaper.
Ferguson said: “The thing that strikes you about Rooney is that he is absolutely football mad.
“He loves training so much that you have to drag him off the pitch. He even plays in goal.
“Sometimes I think I’m going to have to sit on him to stop him playing too much.”