Whilst United have already secured top spot in Group H with four successive wins, the second qualifying place is up for grabs.
Galatasaray currently hold it, courtesy of the four points they collected in back-to-back meetings with Romanian champions CFR Cluj.
But now they need to beat Sir Alex Ferguson's men.
And Amrabat feels Norwich showed the way at Carrow Road on Saturday.
"If Norwich can beat them, so can we," said the winger.
"It won't be easy but everybody needs to give 100 per cent and play from the heart.
"If we want to qualify, this game is a last chance for us.
"Generally, we are having an unlucky campaign but we are still in control of our fate."
United have already secured one narrow victory against their Turkish opponents, who count Premier League old boys Emmanuel Eboue and Johan Elmander in their ranks.
Amrabat was part of the line-up that lost at Old Trafford.
And the 25-year-old, who joined from Kayserispor in the summer, is one of those who feels they can do a little bit more.
"I am not satisfied with my own performances," he said.
"Coming to a new club with a new system is not easy, but if I have more chances over 90 minutes, I believe I can improve."