A draw wasn't the result the team in second place in the Premier League were looking for but Solskjær was proud of what his players did at Elland Road.
"Second half today we looked strong, athletes, I really liked what I saw, we dominated, kept them away from our goal or our half really," he said.
"We didn't take moments when we had them. A draw is disappointing, we wanted to put pressure on City but unfortunately couldn't score.
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"I was really proud, how strong we looked, dominated possession, how quickly we won it back. It missed a little bit today, spark and the extra bit to win the game."
Avoiding the fate other teams have suffered in the second half against Leeds was an achievement worthy of praise for the Red Devils boss.
"I've not seen many teams in the second half dominate as much as we did against Leeds," he said.
"They're so fit, strong, they steam roller teams but we almost did that to them in the second half.
"I thought the foundation of the play was really good. The fitness is a really big thing. I thought Dan James did really well, I thought Marcus [Rashford] was a thorn in their side and Mason [Greenwood] was probably the cleanest of the lot with the ball. The pressure we built second half pleased me, of course we should have scored, unfortunately Bruno's finish just outside the post, Dan didn't pull the trigger. Moments that could have won us the game."
Before the game a banner was flown over Elland Road with a message protesting the Glazers ownership of Manchester United but Solskjær was none the wiser when asked about it. He insisted the fury surrounding Manchester United's role in the doomed European Super League plans had not detracted from his players' preparations.
"I wasn't aware and I don't think any of the boys have seen that," he said.
"We've focused on the game. Of course it was a difficult week but the focus has been really good for a unique game. I thought we played well. I'm really happy with the boys' focus."