He was once again publicly chastised by Jose Mourinho in March - a tirade many senior players reportedly condemned - and several reports have consequently claimed that he will seek a new club in the summer.
"It was an unbelievable reception when I came off", Carrick said of Sunday's match.
"(There will be) no number two", Mourinho told reporters after United's final Premier League game of the season, a 1-0 home win over Watford.More news: Walmart Reports Better-Than-Expected Q1, Boosted by Online Sales
'He is one of the best, he's been around for many years and it all fits in.
The Portuguese duo spent over 17 years working together but Mourinho has insisted that he would not require a replacement for his national compatriot Faria at Manchester United next season.
"I'm there to give my opinion. I've been at this club, and it is such a great club, so I obviously know the club and the manager".
Manchester United is all set to part with Jose Mourinho's right hand Rui Faria after the 2017-18 season. "But it is a hard role, you need somebody to talk to because you can't bounce things off people if they're not there". It just fits. Hopefully it still fits in a couple of years' time. "He'll teach me some things and we're going to have some success in the near future, I'm certain of that". I was fine once I got here but in the hotel before I left, it was mixed emotions.More news: Childish Gambino's 'Star Wars' Character Will Get Spin-Off Film
Although United still have one last fixture remaining in this current campaign, Carrick is not expected to make an appearance.
"People think it's just like "one day I am a player, the next day I am a coach" and it's not like that".
"I am confused by that, and Jose Mourinho probably is at times too, because the performance levels are up and down so much".
And Martial took to Twitter to congratulate the veteran midfielder, who played the final game of his career after announcing his retirement at the end of the season. I've had ups and downs at the club over the years.More news: Angry Alabaster Trump Supporting Lawyer Under Fire For Threatening Spanish-Speaking Workers