Manchester United endured a hard afternoon at the King Power Stadium on Sunday, but managed to emerge on top nonetheless, as a sole strike from Marcus Rashford earned them a 1-0 win over Leicester City.
Solskjaer hailed the interplay between two of his side's best performers in a 1-0 victory and revealed that England forward Rashford was carrying a knock when he broke the deadlock.
We know we can play better.
"We didn't string passes together, we didn't control the game as much as I liked". We put our heads on the line, we put our bodies on the line.
Earlier in the day, Marcus Rashford scored the only goal of the game as United bounced back from a disappointing home draw with Burnley in the week.
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Not many people thought Ole Gunnar Solskjaer would be the next Manchester United manager before he replaced Jose Mourinho at Old Trafford and even when it happened few people thought he'd be there past May.
While Rashford's conversion rate has improved under Solskjaer, the sheer volume of shots he is having under the new regime gives a clearer indication of his greater confidence.
Speaking ahead of the trip to face the Foxes, he said: "When I rang the owner and said that United had called and that he always knew that this had been my dream, he said: "Go over, enjoy yourself - and please don't come back".
But, in what was his first league start under the Norwegian, Sanchez failed to make an impact against a disciplined Leicester City defence. "He is one those lads who want to improve, who sees his game and wants to see what could have done better".
Solskjaer welcomed back Anthony Martial into the squad after injury but with the Frenchman only fit enough for a place on the bench, the United caretaker handed Alexis Sanchez a first Premier League start since November 3.