With Mourinho previously expressing a desire to find a suitable alternative to Carrick upon retirement, United's new first-team coach has backed the club to find a solution in the same way they did when he was asked to follow former captain Roy Keane in 2006.
'I don't want to be throwing quotes out there saying I want to be a manager'.
'He is one of the best, he's been around for many years and it all fits in.
"He is one of the best", Carrick said.
"The final chance to cut the cloth clean. I'm not going to have an assistant managing in the sense of the word".
"I got to Michael in the last part of his career and it was enough to fall in love with the player and person".
"It will be our last game of the season - if you win that, you finish on a positive note and you go into the next season feeling confident, ready to go and ready to battle again for the title", the England global said.
"Hopefully it nonetheless suits in a few years" time.
Faria, who won multiple trophies alongside Jose that included two Champions League honours is set to be the assistant manager of Mancunian club up till the FA Cup final against Chelsea on May 19.
'Briefly, sure, and I'll do, ' he added.
"When I was younger I used to get really nervous before games, so much so, you are nearly throwing up before games".
"Again, that shows the direction that we're moving in and the progression that we're making".
"From that moment, not just United supporters but the players knew that City were way ahead of them".
"You've got to go step by step", he said. I'm well aware of that.
"There's not a game where you think, "It could have gone either way", I think we've deserved to win the games".
'The tip-game, possibly, if I get into it and I believe I might wish to handle, most likely at this stage my reply can be sure, ' he stated.
"Their neighbours are breaking all these records, playing the way they are, and then there are 70,000 people turning up at United every week sitting there and thinking: 'What's in the programme?' It has not been entertaining, and it has been The Mourinho Way".
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