United boss Jose Mourinho suggested at the beginning of the year that the 34-cap England global would likely bring the curtain down on his career at the end of the campaign and, speaking to reporters ahead of Tuesday's meeting with Sevilla, Carrick confirmed the news.
"There comes a time when, as much as you like or don't like it, your body tells you it's time to stop playing football".
"That's pretty much where I'm at, which is fine".
Carrick added it was "looking likely" that he will take up the club's offer of a first-team coaching role at the end of the season.
United legend Rooney, who completed a move to Everton last July, sent a classy message to his former team-mate on Twitter.
During his time at Old Trafford he has won a whole host of major honours including five Premier League titles, the FA Cup, three League Cups, the Europa League and the Champions League while in 2013 he was named the club's Player of the Season. "I wanted to finish on my own terms".
Carrick has made just three starts since undergoing a heart procedure in September. At least I could decide and not be forced because of that, so I was determined to get back fit.
"I understood I'd be getting back fit that I wouldn't be playing as many games as probably I might have done, but that's something that I understood".
Carrick's retirement could also been linked to a heart problem that the 36-year-old has been battling, with the midfielder claiming it flared up once again during a Carabao Cup match earlier this season. "I've been training hard and we'll see what happens for the rest of the season", said Carrick. "There were 2 or 3 times when I wondered whether it was worth still playing, but I soon got over that".