"You can argue for many strikers but I'm glad he's in my team", Solskjaer told a news conference.
"I think Manchester United - certainly over the last 20, 30 years, since Alex Ferguson - have based themselves on youth players, young players, bringing players through".
"We need to improve on quite a few things", Solskjaer said.
"No one beats him on work-rate, no one beats him on attitude and he's very confident in front of goal at the moment, he finishes, tries to shoot, he doesn't think twice about it".
United's home success over Brighton means that the Red Devils have been victorious in each of their seven matches in all competitions since Solskjaer replaced Jose Mourinho as head coach. When you are full of confidence you think you are going to win every game.
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Solskjaer is delighted to see the man he has moved into a central striking role since inheriting the reins showcasing his undoubted quality on a regular basis.
About a month ago this game would probably have been a potential three points for Brighton, since Solskjaer turned the club around with an attacking mentality and some - gasp - smiles, it's anything but. "It's a challenge for us to get to where we as a club should be". When you are playing at Manchester United you are good enough to know how to play the game and to know what you have to do on the pitch.
"What I like the most is to get into their heads and find out what they are thinking".
Solskjaer - who suggested that match-winner Marcus Rashford is a challenger for the title of best current Premier League striker - said the top four was a genuine target for United, though third is surely still a firm aspiration. It doesn't add pressure.
Solskjaer said: "I wouldn't do it but if he is comfortable with it". "I think it wasn't nice watching Manchester United over the previous year and knowing the players weren't happy, they weren't enjoying it and I think all he's done is say 'go and play, go and express yourselves, and enjoy it'".