Lukaku completed a £74m move to Internazionale on Thursday, leaving United without their most prolific forward in each of the last two seasons.
Late attempts to bring Juventus striker Mario Mandzukic in as a replacement for Lukaku failed to get off the ground, though Solskjaer is said to be happy with his attacking options.
Mason Greenwood, a highly-rated academy product, is expected to step up to first team and Solskjaer is confident that United’s frontline will be firing.
Asked if he expected United’s attack to be better this year, the Norwegian said: “Towards the end of last season we didn’t score a lot of goals, did we? And you do think players will have an impact.
How will Manchester United line up with Harry Maguire?
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“Mason Greenwood’s pathway would have been a lot more difficult if we had another forward there. I believe Mason is going to be playing and involved a lot and when he is he’s going to score goals.
“Of course Rom has a good record and stats. He’s one of the top No 9s around when you want to play with that kind of striker, he’s that target man.
“For me I’m very confident that we’ll get goals from Martial, Rashford, Daniel James will come in and create, Jesse Lingard will get more. We do have a different attacking set-up this season.”
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