Solskjaer wants his Red Devils to be more consistent in the 2020-21 Premier League campaign.
Ole Gunnar Solskjaer says the current crop of Manchester United players 'can go as far as they want'.
The Norwegian guided United to a third place finish in his first full season in charge at the Old Trafford helm and is keen to improve on that in the 2020-21 campaign.
"I think we can go into the new season with confidence with the way we finished last season. That showed what we're capable of," he said ahead of their Premier League match against Crystal Palace at Old Trafford.
"We developed throughout the season and need to keep on and show potential. We need more consistency but, with a year more experience, we should be getting that consistency. It's a group I don't really want to say what they cannot do. They can go as far as they want themselves."
Dean Henderson is ready to battle with United's first-choice goalkeeper David de Gea for the starting place this season after returning from his loan spell with Sheffield United.
However, Solskjaer didn't confirm who his starting goalkeeper will be: "I'm not going to tell you the team today but the goalkeeper training has been fantastic to watch, so enjoyable.
"It's the highest possible quality you can imagine. I know the goalkeeper coaches are enjoying working with them and the stuff they do, some of the stuff is fantastic. It's going to be an interesting thing for many to follow.
"I know it's great to see [Spain coach] Luis Enrique talk about David the way he did after the internationals. Coaches who work with players have got the respect and he shows his respect when he talks about it being nice if the press talk about what a great goalkeeper we have, but Sergio [Romero] has not come back yet. He's had some extra time."
On Donny van de Beek, Solskjaer said the new signing has come in with loads of energy.
"He's a smashing boy, great personality, coming in with loads of energy and a big smile every day," he said.
"He played well against Aston Villa [friendly last Saturday] so you're likely to see him but, of course, I'm not going to name the team here today. 'll have to do that to the boys after training."