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Eagle-eyed fans initially heard the moment that someone from the touchline called on the United players to score as many goals as they can before full-time.
The Manchester Evening News' Samuel Luckhurst later added that the comments did come from Solskjaer.
"Sounded like Solskjaer said: 'Get more goals. Ten minutes,'" Luckhurst tweeted.
Solskjaer's message to his players has earned him a lot of praise from fans, who shared their thoughts on social media.
"If it was [Jose] Mourinho, he would have parked the bus at 1-0," one fan said.
While another tweeted: "You love to see it."
A third wrote: "Exactly how it should be, goal difference can be the difference between winning the title and coming second. Love that from the bench."
And a fourth added: "That's the mentality we need to show."
Southampton were placed on the back foot early on after Alex Jankewitz was dismissed for his clumsy challenge on Scott McTominay.
The Saints' woes continued as Jan Bednarek was sent off late into the second half for a challenge on Anthony Martial, though the Southampton defender was baffled by the decision.
Speaking after the 9-0 thumping, Solskjaer admitted that he was thrilled with his players' "hunger and attitude to do the right things."
The United boss told BT Sport: "What I liked about the performance was the hunger and attitude to do the right things and get better and better and practise good habits.
"That's the only way we can improve and get better, do the right things.
"You see loads of things we've been working on, but we don't want to be a team that you can predict. We want to be a little bit unpredictable as well.
"But that has to come from the players. I thought they were excellent, that the freedom, creativity and imagination was there.
"The performance was positive and something we can look at, but you have to think about them being down to 10 men but it's never easy to play against 10 men, either."
Featured Image Credit: PA
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