Rooney has backed Chelsea owner Roman Abramovich to keep faith in Villas-Boas, just like United have done with their long-serving boss Sir Alex Ferguson.
Rooney said: “There’s a lot of people saying he should be sacked, that Chelsea should make another change.
“There’s no need to do that, I cannot see the point in that at all.
“I must admit I’ve been surprised by Chelsea’s problems because in the last few years they’ve always been so solid, so hard to score against and so very difficult to beat.
“This season that hasn’t been the case but they’ve a new manager and a new way of playing which will take time to settle.
“Look at Manchester United celebrating 25 years of success under Sir Alex and look at Arsene Wenger at Arsenal and David Moyes at Everton.
“Ten years and more of stability and consistency there. So for me the best option is to keep faith and keep your manager.”