The Red Devils are now back to the European top tier competition after missing out last season.
Despite the defeat, the Englishman made multiple big saves to minimize the damage for Wolves.
Scottish star, Scott McTominay, fires United ahead 36 minutes into the game courtesy of an assist from Jadon Sancho.
Manchester United came from behind twice to hammer Aston Villa 4-2 at Old Trafford.
Manchester United returned to winning ways Monday night, beating Liverpool 2-1 at the Old Trafford
In the 65th minute, Andros Townsend fired in an equaliser for Everton, forcing United to share points.
United trail their traditional rivals on goal difference with both teams on 33 points from 16 matches.
