England coach Roy Hodgson will have to pick a new captain when his side takes on Norway in an upcoming friendly, with Mourinho suggesting that Cahill has the perfect profile to be a leader, despite the presence of Wayne Rooney.
"I don't want you to say that I prefer Gary in front of Rooney or Gary is better than Rooney. No, I just speak about Gary and Gary can be a captain," Mourinho told reporters.
"He is not the captain here because we made the decision that John [Terry] is the captain for many, many years, and after that it is about years at the club, so Petr Cech, Didier Drogba, Branislav [Ivanovic], [John] Obi Mikel, so he has lots of guys in front of him.
"So is he going to be Chelsea captain? I hope not, because for him to be [Chelsea] captain then five or six of the other guys they are not able to play. But can he be a captain, do I feel he has the captain's profile? Yes."
England were previously led by Steven Gerrard before the Liverpool midfielder decided to call time on his international career after their exit at the World Cup.