The United midfielder is looking forward to working with the current Everton boss from July onwards and told MUTV he is used to dealing with managerial changes following his time at West Ham and Tottenham.
"I think he [Moyes] has obviously done a terrific job at Everton," Carrick stated on the official club TV channel. "He's been there for a long time now with great success for the resources that he's had and he's well respected with everyone I spoke to.
"All the players who have played for him all enjoy playing with him and say good things about him, obviously enough for him to get the chance to be the manager of this great club. It is an opportunity for him and an opportunity for everyone else to maybe do things slightly differently but keep the success rolling on."
Clearly the first change in manager for more than 26 years at Old Trafford is bound to attract plenty of attention in the media but the England international expects the new man to maintain the high standards demanded by Sir Alex.
"It's obviously a big change because this club's been run for so long under the same person," added Carrick. "I've worked under a few different managers in my past in my career, so I'm sort of used to a little bit of change, but yes, I'm really looking forward to it, to meeting him and getting good training pre-season and hopefully a good future.
"I think he's honest and he's fair to his players as far as I'm aware and I'm sure that's the case. He'll set high standards just as we expect high standards of ourselves and I'm looking