But United manager Van Gaal insists he has sympathy for the Belgian international because of the provocation from Huth, who was also given a three-match suspension for pulling Fellaini's hair in the incident that sparked the altercation in Sunday's 1-1 draw at Old Trafford.
"We don't have an appeal because I said already that the reaction of Fellaini is like a human being," said Van Gaal, who will lose Fellaini for three Premier League games but have him available for the FA Cup Final against Crystal Palace later this month.
"But when you grab somebody by the hair, always this situation shall exist."
Fellaini will end the season as he started it -- serving a suspension - after he was punished for stamping on Hull's Paul McShane in the final game of the last campaign.
Also Read
Despite a solid recent run, the often-criticised Van Gaal has been left to count the cost of a mid-season slump and some indifferent results against lower opponents.
In midweek, at United's player of the year awards event, Van Gaal claimed expectations at Old Trafford are too high and while he was not in the mood to examine the issue any further, the United manager still clings to his mantra that a debilitating pre-Christmas injury list has scuppered his team's season.
"When you see what we had done against the top five, you can see what we have done against the bottom five, and that is not a good average," he said.
"We had these injuries. I always talk about facts, not about hypothetical circumstance and activities.
"I can only say that in the end of November we had first position, after that we had a big decline. These are the facts.
"Also the injuries are a fact. But you can never tell that if we didn't have so many injuries that we would be first, because I have great respect for the champions Leicester City.