But the 26-year-old has failed to make an impact in United’s last two matches, dull 0-0 top-flight draws with Chelsea and Crystal Palace.
United look to Fernandes to inspire them and when the Portugal international is not leading the charge, the rest of the Red Devils attack struggles too.
And Solskjaer, whose side have only won two of their past seven league games having drawn five, wants the likes of Marcus Rashford, Anthony Martial and Mason Greenwood to contribute more.
“I think taking responsibility is important for everyone when they play football,” the Norwegian coach said.
“Of course it might be Bruno I but know that teams are trying to man-mark him at times and that’s not a dig at anyone.
“That’s just that sometimes in football they try to stop your best player. And someone else will have to step forward.
“Bruno might find a position, make space for others, create. He has created chances for others even when he has not touched the ball.
“And you see others have created chances for Bruno when they’ve not touched the ball.
Despite recent criticism of their performances, Solskjaer declared ahead of Sunday’s Manchester derby at the Etihad that United aren’t out of form.
“I had some great coaches there with the same beliefs that we have to attack quickly. Whenever there is the chance and the opposition is out of balance you counter-attack.
“I think all the best teams can counter attack. All the best teams can break down a deep block.
“As I’ve said, it’s about players. It’s the quality and we are getting there. And we are getting better in most parts of our game.
“We’re working as hard as we can every single day – and that is everyone from the scouts to the cleaning ladies and the people in the kitchens.
“Everyone is working really hard to get us to where we feel belong – and that’s the top. I know our fans want us to win and that they’re impatient for success. We’re working as hard and as quickly as we can.”