Amrabat lasted for 60 minutes as Erik Ten Hag's side brushed aside Palace 3-0 at Old Trafford to advance into the fourth round of the Carabao Cup.
The Moroccan international was utilised in an unfamiliar left back position by Ten Hag, whom he worked with previously at Dutch side Utrecht.
Amrabat joined Manchester United from Fiorentina on transfer deadline day with the option to make the move permanent at the end of the season.
He had to bide his time to make his debut as a late substitute against Burnley over the weekend but is now ready to make his presence felt at his new club.
“I told the manager I will play where [he] needs me and where the team needs me, even if it is a goalkeeper!” our no.4 told Sky Sports at full-time.
“I play where I can help the team, today it was left-back.
“I had a bit of a free role, I think you saw I played a bit in midfield, so it was nice, it was good.”
“I think it was a perfect night,” he added.
“We played very well and, most importantly, we won 3-0. I played one hour, so I think it was perfect.”
“Since I was a child I worked for this [moment],” he added.
“I worked very hard for my whole career and life [for this], so it was amazing to play here.
“Today is a Tuesday and the stadium was full, it is fantastic.”
Manchester United have now won back-to-back games for the first time this season.