United lost 1-0 in the first leg of their Champions League quarter-final tie against Barca, whose defence contained Marcus Rashford and co at Old Trafford.
The Red Devils failed to register a single shot on target in a Champions League game for the first time since 2005, when they lost by the same scoreline to AC Milan.
Rashford skewed a volley wide of the target, while Romelu Lukaku, as well as substitutes Jesse Lingard and Anthony Martial, struggled to threaten Barca.
Solskjaer said: “There are pluses and negatives. I thought we started sloppy.
“We did as well as we could against [Lionel] Messi, kept our shape well. It could have gone both ways.
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“I don’t think we hit the target and that’s a disappointment.
“After their goal we settled, we played well, we had some very good performances from some individuals in midfield.
“At times it felt like a proper Manchester United team, the crowd was behind us. We go there with work to be done but chances.
“We’re still in this tie. We’ll go there with the knowledge we can score.”
Solskjaer admits his side must do better in front of goal if they are to upset the odds once more in the return leg at the Nou Camp next Tuesday.
United have pulled off impressive victories at Juventus and Paris Saint-Germain this season.
Solskjaer said: “We’ve scored goals at the Nou Camp before from corners and crosses.
“Of course the PSG performance away gives us hope and belief that we can do it. But we know that we are playing against the favourites in the tournament.
“Going to the Nou Camp is going to be a challenge and it will be a greater achievement winning that one because with the history of Barcelona as well, they’re not used to losing at home.