Once described by former United captain Nemanja Vidic as "the glue that holds it all together", Carrick said he was looking forward to a new role in the dugout next to the club's manager Jose Mourinho.
"I know that Romelu will be back for Tuesday because he's in the last week [of rehabilitation] and we have to see but Anthony I have no more".
But the 42-year-old announced on Sunday that he would move on after next week's FA Cup final against the Blues as he attempts to forge a career as a head coach.
Watford were forced to make a change on 21 minutes after Christian Kabasele collided with the advertising hoardings behind the goal having challenged Sanchez.
"And when Michael has the pro licence badges, normally with the personality, friendship and honesty he has, I think it will be for him".
Carrick's retirement means there are no more members remaining from United's 2007/08 Premier League and Champions League winning side - it well and truly being the end of an era at the club. "He had treatment at the training ground", added the United boss.
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He then sarcastically hit out at his critics as he suggested the negativity around the team was not justified: "If you want to be negative, you can be negative until the point that you can say that Scott McTominay is not good enough", he said.
It was only a minor triumph in the context of a season in which City finished a record 19 points clear of the runners-up. I don't know if he will be fit for the final.
When Mata next popped up this was on the left, the Spaniard finding Sánchez as he pulled away at the far post.
Next came a moment that summed up United's season. Marcus Rashford had made strides to join the attack and Mata unselfishly squared for the Mancunian to side-foot the ball home. He passed right to Rashford and the 20-year-old collected a 13th goal of the campaign.
Fellaini (30), has rejected advances from the United camp over an extension due to financial factors.
Later, a Rashford pot-shot sailed over the bar and Watford had a mini-flurry in and around United's area, before Carrick's farewell. "It's the greatest club in the world so it's been beyond my wildest dreams as a young kid".