The Red Devils overcame Graham Potter's men 3-1 at Old Trafford, with Andreas Pereira opening the scoring for the hosts before Davy Propper turned the ball into his own net to make it 2-0.
"Yeah, I think it's our best performance of the season", he said. "But [it was] exhilarating and entertaining and great to see the boys enjoy themselves". "Of course you can go back to Chelsea but today I thought the reaction after they scored was fantastic".
The England global has bagged six goals from his previous six starts for the Red Devils and that includes crucial strikes against the likes of Liverpool and Chelsea.
"We knew if we could get the next goal we could build from that".
"The table does not really matter at the moment: we need to keep improving and keep winning games and see where it takes us".
If Fred had been more fortunate with a 61st-minute strike that Ryan fumbled onto his bar to catch at the second attempt, the afternoon could have been far more comfortable.
United's response was swift and clinical, however, with the Reds restoring their two-goal cushion just two minutes later. He also praised the performance of Daniel James, who he worked with at Swansea last season.
The visitors had their fair share of position and tested United - whose 19-year-old defender Brandon Williams made his first league start for the club - throughout, finally getting their reward on 64 minutes when Lewis Dunk headed past David de Gea from a Brighton corner.
"He went over on his ankle and it looked like a painful one", said Solskjaer. "That's the feeling I got".