"At the time, it must have been every United supporter's nightmare, to see them across the road, who have always been in your shadow, and actually you've been laughing at them for a few years, and now they have manager you always wanted, playing the type of football you would give anything for".
Veteran midfielder Carrick hung up his boots on Sunday after playing 85 minutes of United's final Premier League game of the season against Watford.
Said Mourinho: "I will organise my coaching staff in a way where the assistant manager figure doesn't exist".
He added: "That Man City game at Old Trafford, you could sense among United fans that they didn't want to play City, because they were going to play them off the park".
Jose Mourinho's side did improve their league position from sixth to second and it's emerged that their overall points tally of 81 would have secured the title in some other seasons. I've been at this club, such a great club, I obviously know the club and manager, learning off him, the backroom staff, trying to bring the kids through and have an influence on that.
He will no doubt be missed as part of the first-team setup but with this new challenge in the career of the one-time Champions League victor, it will be interesting to see if he can take to his new position with the same level of success as he did his last.
Mourinho has not always backed his youth players. Pic IAN KINGTON AFP Getty Images
Mourinho has backed his long-serving number two to succeed in management and admitted that he hopes to one day face him in the dugout of a Premier League match. This was the final chance to cut the cloth clean. "I've got six or seven weeks off after the cup final".
He will also be looking to force United back into title contention next season, with Neville claiming that capturing that crown would make the Portuguese more successful that Pep Guardiola - who has just guided Manchester City to a record-breaking triumph during his second season in England. "I'm well aware of that", he said.
'Just because I was a half-decent player it doesn't guarantee you're going to be a success in whatever you do. "I'm sure that will be the case again".
"I have a lot of memories to cherish, some I'll never forget, especially of this place".
"I'd like to say a massive thank you to everyone for their support over the years, it's been unbelievable".