Forward Rashford was on target again in United's 2-1 win over Brighton and Hove Albion on Saturday - taking his tally to five in the seven games since Solskjaer was appointed a month ago.
The 21-year-old England worldwide, who expertly turned away from Pascal Gross before curling a fine shot into the top corner, has netted five times in six league matches following the Norwegian's appointment in December.
Marcus Rashford is making a case to be considered the best striker in the Premier League, according to Ole Gunnar Solskjaer. "Kane is injured so maybe that gives him a better chance to be the best one at the moment".
On Manchester United's performance in the narrow victory over Brighton, Solskjaer added: 'Sometimes you make it hard work. He finishes, he tries to shoot, he doesn't think twice about it. Paul [Pogba]'s scored four since I came here.More news: Aiia Maasarwe: Arrest over killing of Israeli student in Melbourne
"I think he's playing the best football in his career".
"I wouldn't have done it that way but the way he strikes the ball is good enough". At the beginning of the second half, we created some chances and we should have put the game behind us but, in any game, you get problems and challenged and Brighton more than other teams because they are so resilient and stubborn.
Rashford has now scored eight goals and made six assists in the Premier League so far this season.
'He's obviously not 100 per cent match fit because he's been out for quite a while but possibly he'll be in the team in the FA Cup next week, ' he said.More news: Mariah Carey sues her personal assistant for alleged blackmail
"The players have to be proud of the form and momentum they are building".
"It appears this group of players is extremely hard to motivate", the Italian coach said after seeing Chelsea manage just one shot on target after Alexandre Lacazette and Laurent Koscielny scored in the first half for Arsenal. I've never ever bothered about these things. At times we did and it's a great three points.More news: Trudeau Voices 'Extreme Concern' over China Death Sentence for Canadian