This fixture against Tottenham Hotspur was Solskjaer's first real test as Manchester United's manager. United came into the game knowing that a win would take them level on points with the fifth-placed Arsenal whereas, for Pochettino's side, it was more about staying close with City and Liverpool at the top.
The game was wide open in the initial moments with Martial and Rashford coming close for Manchester United. Spurs struggled to carve out a clear cut chance in the early minutes with Harry Kane's goal ruled out for offside. However, towards the fag end of the first half, Paul Pogba found Marcus Rashford with a superb pass, which the England International beautifully dispatched past Hugo Lloris to put United 1-0 ahead.
The second half was a different story as Spurs went rampant with waves of attack, especially in the last 15 minutes. However, David de Gea produced some stunning saves to keep Tottenham at bay. It was a hard fought victory for the Red Devils, which took them level on points with Arsenal.
Here are the Manchester United player ratings.
David De Gea - 9/10
It was because of him that Manchester United came away with all three points from Wembley. David de Gea was at his very best as he saved everything that came his way. The Spaniard's agility was on show as he used both his feet and hands to produce some point-blank saves.
Luke Shaw - 7/10
Shaw had to deal with Trippier and Eriksen for most parts of the game, and he did that superbly. Even on a few occasions, England left-back marauded forward helping Martial and Rashford up front.
Phil Jones - 6.5/10
Jones had a tough time dealing with Harry Kane throughout the match. He lost his man on a few occasions, leaving David de Gea to save him from the embarrassment.
Victor Lindelof - 7.5/10
The Swedish international stood up strong against Son and Kane as he produced some crucial tackles and even won several aerial duels. He was undoubtedly United's best defender today.
Ashley Young - 6.5/10
Young had to deal with Davis down the right side, and he won most of their battles. He defended the lines well and restricted much of Spurs attack from that side.
Nemanja Matic - 7.5/10
The Serbian played a significant role in United's victory over Tottenham today. He always closed down any white shirt in front of the six-yard box and blocked quite a few shots from the Spurs players.
Ander Herrera - 7.5/10
Ander Herrera complimented Matic well in the center of the park and often seen moving out with the ball to give the defense some respite against a relentless Spurs attack.
Jesse Lingard - 6/10
He was good in parts and often interchanged with Martial and Rashford up front. However, it was not one of his best performances by any means.
Paul Pogba - 7.5/10
The Frenchman is an entirely different player under Ole Gunnar Solskjaer and once again he was instrumental against Spurs today. One brilliant pass to Rashford in the first half was enough to decide the outcome of the match. In the second half, Paul had some attempts on goal, but Lloris was equal to his task.
Antony Martial - 6.5/10
Whenever Martial received the ball, he tried to drift inside and create problems for Trippier down the left-hand side. In the first half, he hit a shot straight at Hugo Lloris and set up a beautiful pass for Pogba in the second half which Paul failed to score.
Marcus Rashford - 7.5/10
Rashford ran tirelessly throughout the game and was United's match-winner for the day. He gave Vertonghen all sort of problems with his speed and even tracked back on many occasions to stop any attack from the home side.
Substitutes -
Romelu Lukaku - 6/10
Came in the second half in place of Martial which added some physical presence up front for United. Lukaku was active in the air and held up quite a few balls for the wingers to run through.
Dalot & McTominay - N/A
Both came late in the game to make any telling contribution.