It was a completely changed United lineup from the side that won at West Ham in the Premier League on Sunday so Cristiano Ronaldo did not feature.
Solskjaer -- who won multiple trophies during his time as a player at Old Trafford -- is yet to win silverware as United manager despite several near-misses.
But the pressure is on under-fire Arsenal boss Mikel Arteta when the Gunners travel to fellow strugglers Burnley.
Kurt Zouma's seven-and-a-half-year Chelsea career came to an end after the defender completed a permanent move to West Ham United.
He scored 49 goals by netting twice in a 4-1 win over 10-man Leicester at the Olympic Stadium on Monday.
West Ham United on Saturday announced that manager David Moyes has signed a new three-year contract with the Club.
Sixth-placed West Ham looked set for a damaging defeat at Amex Stadium after Danny Welbeck’s 50th Premier League goal broke the deadlock only three minutes earlier.
Antonio marked his comeback game after nearly a month out with two goals as West Ham rallied to beat Burnley 2-1 and move within three points of fourth-placed Chelsea with four games left.
Timo Werner scored the lone goal of the match as Chelsea registered a victory to move to the fourth spot in the Premier League standings.
After being thumped 4-0 by Liverpool in their season opener, West Ham have lost to Bournemouth and Arsenal despite taking the lead in both games through Marko Arnautovic.
Argentina midfielder Javier Mascherano calls time on career after painful defeat to France in FIFA World Cup
Argentina midfielder Javier Mascherano made his international debut in 2003 and went on to appear 147 times for his country.
In their first outing since beating Porto 5-0 in the Champions League 10 days ago, Liverpool moved up to second in the Premier League with a 4-1 thrashing of West Ham on Saturday.
Arsenal are only one point off fourth place but did not look like a side going places despite enjoying the majority of possession against West Ham.
Manchester City moved eight points clear at the top of the Premier League as David Silva's superb late strike capped a dramatic 2-1 victory over West Ham.
The hosts fell behind early on at the London Stadium to a goal from Marc Albrighton before Cheikhou Kouyate equalised on the stroke of half time.