The former England international made gradual transition from footballer to coach after he announced his retirement at the end of the campaign back in January.
Manchester United record signing Paul Pogba shed light on Carrick’s influence in the aftermath of their 3-2 comeback win at Manchester City in the derby in April.
Now, Lukaku has lifted the lid on how the former Tottenham Hotspur midfielder has managed to improve the Belgium international’s performances.
The 25-year-old finished his first season at Old Trafford with an impressive return of 16 goals in 34 appearances in the Premier League.
Lukaku found the net a further 10 times in 16 appearances in the Champions League and the FA Cup to score a total of 26 goals in the 2017-18 season.
However, the Manchester United striker was quick to credit Carrick for helping to improve the Belgian forward.
“Michael – first of all, I want to say a big thank-you for what you’ve done for me since January,” Lukaku told Man United’s website.
“I mean not a lot of people will know that now we do video sessions after every single game to prepare for the next game and, like I’ve said, sometimes you think those video sessions don’t help me going forward. But they do because I became a better player and I became a better version of myself.
“I think it also starts in training when we do the extra bits and the extra exercises to become a better player. Your eye for detail really helped me a lot more. I’ve had a lot of mentors in my young career and you’re certainly one of them.
“I hope you can continue this process next season. It will be a joy to work with you in the staff next season. Hopefully, I can improve on the bits and pieces that you want me to improve on.
“Good luck after your career and I hope to see you in pre-season so we can start a new chapter in the work that we do.”
Manchester United signed Lukaku in a £75m deal from Premier League rivals Everton last summer despite his former club Chelsea FC being interested in a move to sign the striker.
The Red Devils haven’t won the Premier League title since 2013.
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