Carrick has brought in former Real Madrid defender Jonathan Woodgate as first team coach and ex-Chelsea and England coach Steve Holland as his assistant manager.
Travis Binnion has stepped up from his U21 post, while former United defender Jonny Evans returns after hanging up the boots over the summer.
Carrick said, “I’m delighted to have Steve, he has an unbelievable wealth of experience at Chelsea in terms of going through a similar situation when the club has changed manager and coach.
“Jonathan is the perfect balance for me. He challenges me and he’ll keep doing that.
“Travis, this club is about young players and about producing young players and having a line with the academy and a pathway and understanding what it means.
“And Jonny, is Jonny. He is someone who is close to me and I respect and appreciate everything he stands for. He’s got unbelievable knowledge about the club.
“He’s come through the whole football club and he understands the day-to-day. He’s got such a massive experience to pass onto the players.
“There’s a real balance of personalities, knowledge and experience. And I’m really happy with what we are going into.”