United were poor at the King Power Stadium and were eventually comfortably beaten.
Mason Greenwood’s incredible strike handed Solskjaer’s side the lead before Marcus Rashford restored that advantage after Youri Tielemans equalised.
But the Old Trafford outfit were the victims of a terrific comeback by the hosts. Jamie Vardy equalised within seconds of Rashford’s goal to put the momentum in Leicester’s favour.
Caglar Soyuncu and Patson Daka then condemned United to their second Premier League defeat of the campaign.
Reports regarding Solskjaer’s future have intensified following this latest loss. The Norwegian was backed with a big-spending summer, which included the arrivals of Raphael Varane, Jadon Sancho and Cristiano Ronaldo.
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“Unfortunately, we couldn’t get it our way.
“It says everything when David [De Gea] was our best player and we concede four goals.
“We were not good enough – with and without the ball. You have to run, block and tackle and we didn’t do that enough. We didn’t deserve a point. We got the lead, Mason showed his quality and then we give them a goal. All the goals we conceded were disappointing in the way we conceded. It wasn’t just the midfield, but we were too easy to play through.
“Maybe we gave too much space, but that’s the whole team. I agree we didn’t defend well enough. We just didn’t do things well enough.”
United star Paul Pogba admitted ‘something needs to change’ after the Leicester loss, adding: “To be honest, we’ve been having this kind of game for a long time and we haven’t found the problem.
“We need to find what’s the problem, to concede easy goals, stupid goals, when we know those games where we play on this pitch, the fans are going to push, put pressure on us and everything. We need to be more mature, I think. We need to play with more experience, arrogance in a good way. We have to take the ball and play our football.
“But now we have to find what’s the key of these games that we lose. Because I think we deserved to lose today.
“We need to find something, we need to change something. I don’t know if the mindset of all of us, the players, when we start… we really don’t know. It’s frustrating because it’s something we don’t understand and we have to find that very fast because if you want to compete and you want to win the title, those games you have to win, even though they are very hard and we’re playing away.
“You need to fight their game, you need to find the right mentality, the right tactic to win those games. That’s my thought. We have time to think about it and then all together, we have to stick together and find the problem.”