“He’s absolutely top class to work with, a great kid. He wants to learn, improve and he knows how to keep feet on the ground.

“Today he was carrying a few knocks but there was no chance he was going to say to me before the game he didn’t want to play.

“He will become better but he has everything to become a top-class player: attitude, skill, physique.

“I’m delighted I have three centre-forwards scoring today.”

United’s other goals in a one-sided Premier League clash came from Anthony Martial and Mason Greenwood. It was a strong response after their humbling by Manchester City in the Carabao Cup in midweek.

Rashford opened the scoring with a far-post volley from a Juan Mata cross and added the second from the penalty spot. Mata then crossed for Martial to head home before Greenwood came off the bench to complete the scoring.

Asked about Mata, Solskjaer said: “He was excellent, Juan. When we get Juan facing forward he can pick passes and put crosses in. We found him more and I’m delighted with him today.”

Solskjaer added that Ashley Young, who continues to be linked with a move to Inter Milan, was “not fit to play”.

Solskjaer was also asked about some chanting from the home supporters against the club’s owners, the Glazer family.

The Norwegian said: “I’m not sure if the players will get it but I noticed. As a club we’ve got to stick together, we’ve got to be united, we are a family.

“I can only say from when I’ve been here I’ve been backed by the owners, I’ve been backed by Ed (Woodward, chief executive) and they’re supporting me.

“We are in all competitions. We are still in the Carabao Cup, FA Cup, we’re fifth in the league, still challenging. We’ve improved the position from last season, we’ve got the Europa League to play for.

“They’ve just got to believe me when I say I feel we are doing loads of good things behind the scenes and we are going in the right direction.”

Defeat left Norwich five points adrift at the foot of the table having played a game more than the sides immediately above them.

Manager Daniel Farke said: “The better side won. We have to accept the loss.

“You could see they were desperate to give an answer after the last result. They put a lot of pressure on us.

“But it is important to be realistic. It was not a season-defining game for us. We were playing one of  the greatest clubs in the world. It was not easy for us to win.

“When we are at our best level we are competitive, but you also have to accept there will be tough days.”