The Belgium international provided the vital assist for Wayne Rooney’s winner in a 1-0 victory over bitter rivals Liverpool at Anfield on Sunday afternoon.
Fellaini has been in-and-out of Louis van Gaal’s starting line-up so far this season, starting only seven Premier League games so far this season.
Former Arsenal striker Wright explained why Fellaini still has plenty to prove at Old Trafford after moving to the Red Devils in 2013.
“You can see that there is a certain quality and standard that have come through Man Utd,” Wright told BBC Sport.
“You look at Fellaini, as much as he did get the decisive header that set up Rooney on Sunday, the way he is and the way he plays, he doesn’t feel like he proves his point that he is a Man Utd player, he isn’t doing enough where you can see the Man Utd traits in him.
“You can see it in Anthony Martial and Ander Herrera.”
Fellaini has scored one goal in 16 appearances in all competitions for the Red Devils so far this season.
The Belgium midfielder moved to United in a £27m deal from Everton under David Moyes in the summer of 2013.
The Red Devils are in fifth place and two points behind fourth-placed Tottenham Hotspur in the Premier League table.
United host Southampton at Old Trafford in the Premier League on Saturday afternoon.
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