Carrick has been in and out the team this season due to injury but Man United have looked noticeably better whenever he has been on the pitch.
The 33-year-old was particularly impressive during a fantastic six-game winning streak towards the end of the campaign which set United up well to finish in the top four of the Premier League.
Carrick thanked van Gaal for giving him more responsibility over the course of the campaign.
When asked about their relationship, Carrick said: ”Well, we had a bad start really. On his first day, I went for an operation and was out for three months at the start of the season.
“Since then, he’s been terrific for me; he’s supported me and given me a lot of responsibility. As the season has gone on, I think I’ve shown that on the pitch; I’ve been happy with the way I’ve played.
“He’s a lot more measured and a lot more calculated with the positions he wants me to take up on and off the ball, and also in terms of distribution. If it’s five yards out, he’ll shout to let you know. It can change game to game – during the Liverpool match, for example, I was pretty much playing as an extra centre-back because of their system. Things changed for that one game, so he adapts and it’s good for me. I’m learning all the time.”
However, the likes of Radamel Falcao and Angel di Maria have gone through tough seasons at Old Trafford. Regardless, it is clear that van Gaal commands the respect of his players, which is refreshing to see following the reign of the inept David Moyes.