Mourinho's appointment has been backed by some former United players, including former goalkeeper Peter Schmeichel and Hull City boss Steve Bruce.
And on Thursday, ex-defender Rio Ferdinand praised the 53-year-old former Chelsea, Inter Milan and Real Madrid boss.
"I have heard many say the 'Mourinho WAY' is not the Manchester United style of playing football," the 37-year-old former England skipper wrote on his Facebook page.
"However, the Chelsea team that Jose put together first time round when he entered the Premier League played with wingers and hurt teams with quick attacking play.
"This is a sign he knows how to get a team playing in a way Manchester United fans can look forward to seeing."
He added: "One thing I can tell Manchester United fans is that they have got themselves a true winner in all aspects. His CV shows success."
Zlatan Ibrahimovic, who United are interested in bringing to Old Trafford, potentially as Mourinho's first signing, said his former boss was "the man to bring them [United] back to the top".