"I can't do anything about Alexis Sanchez", Solskjaer said.
Alexis Sanchez was injured in a freak incident during Manchester United's defeat by Paris Saint-Germain - colliding with a linesman while he was warming up. "When he plays he needs to find himself because we know there's a quality player there".
If trio can score an away goal, it would certainly give PSG an advantage when the two teams play the second leg in Paris.
Solskjær asked his troupes to quickly pick themselves up and focus on the next two matches that will be pivotal in United's season.
Solskjaer insisted his United side must treat their chastening defeat as a learning experience and demanded a response ahead of Monday's FA Cup fifth round trip to Chelsea and their following Premier League game at home to title challengers Liverpool.
The Norwegian is already likely to be without Martial and Lingard, who are both awaiting results on the muscle injuries they suffered against PSG in the first half.
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It made a bad situation worse for United since he will now miss the second leg due to suspension. The Chilean was largely anonymous after coming on as a first-half substitute and afterwards Solskjaer insisted it was up to him to get back to his best.
The stage was set for Pogba to reaffirm his place among the world's top players, but instead the midfielder produced an oddly diffident performance that recalled the dark days of the Mourinho era. But I think until the corner I couldn't say we were better (but) the game was under control.
In a major statement of intent from PSG, they became the first French team to beat United away from home in European competition.
"Of course it's a reality check you can see the strength they have, but we want to get to that level".
Solskjaer was still Cardiff manager when United last won a knockout phase game in the Champions League - against Olympiakos under David Moyes in March 2014.
"We are aware of a report that a plastic bottle was thrown onto the pitch during the game and a man was removed from the stadium by club stewards".