What a start from Solskjaer.
England forward Rashford's 41st goal for the club came six days after he scored the victor against Kane's Tottenham at Wembley, and he now has seven goals in his past 10 appearances in all competitions.
England captain Kane is out until early March with an ankle injury.
"Solskjaer said, "[His goal] wasn't bad was it?
"Harry Kane's injured, so maybe that gives him (Rashford) a better chance to be the best at the moment". He finishes. He tries to shoot. "I think he's playing the best football in his career". They have also significantly bolstered their chances of a top four finish and Champions league qualification.
United stormed into a two-goal lead through Paul Pogba and Marcus Rashford in the first half but faded in the second and served up a nervy finish to their fans after Pascal Gross pulled one back for battling Brighton.
Young went on to admit that Solskjaer had helped to bring some confidence back to the Manchester United squad following the sacking of Jose Mourinho back in December.More news: Woman suing R. Kelly for sex abuse says singer threatened her
"We need to improve on quite a few things", Solskjaer said. We need to defend better with the ball.
"At times today, though, we played some fantastic football".
Brighton, in 13th place, have won just one of their past eight league matches, but showed enough in defeat to suggest they have the quality required to stay clear of trouble.
Rashford has scored 41 goals in 150 United games and has scored more than any other player for the club since his debut in February 2016.
Rashford's form has been integral to Solskjaer's fine start at the Old Trafford helm, with the Norwegian having now presided over seven wins from seven. "There's no one scoring as many goals as him in training".
"They're probably pressing higher, and they've got a really good momentum at the moment".
"There are the three who play the most but then you've got [Romelu Lukaku], you've got Juan [Mata], you've got Alexis [Sanchez], so I've got a front six I can rotate with and Rom is definitely going to be playing games".