Fellaini was substituted as Everton lost 3-0 to Wigan Athletic in the FA Cup, but Moyes has revealed that he will give the Belgian international a chance to 'make up with the fans' against Manchester City.
The 49-year-old told reporters: "His reaction wasn't right, it wasn't the correct one and I have told him that.
"He knows that he should have played much better, and yes, he may have some making up to do with the fans, but I won't have any trouble picking him.
"I'll play Marouane against Man City as I have to give us the best chance of winning. That means picking our best players and giving them a chance to make amends."
The 25-year-old has scored 12 goals in 27 games for Everton this season.