Sanchez was given a contract worth a rumoured £500,000 a week to join United over rivals Manchester City, but he has failed to replicate his personal success from Arsenal during his time in Manchester, scoring just five goals in 37 appearances.
Chile worldwide Sanchez was widely regarded as one of the best attacking players in Europe during his spells with Barcelona and Arsenal.
As Sanchez attempts to rediscover the form that persuaded United to sign him from Arsenal a little over a year ago, Solskjaer brought a little levity to proceedings by comparing the 30-year-old's situation to trying to get tomato ketchup out of a bottle.
Solskjaer said: "I think he's a very good player, he's very talented but of course there are only so many things you can sit down and talk about and tweak". "We are challenging to be top four, challenging against very, very good teams, so you need the players to step up now and you expect that at Manchester United at the end of the season".
But the 30-year-old also recognised that, as an "experienced player", he did not need Solskjaer's guidance.
Sanchez has played more than 700 games for club and country since making his senior debut as a teenager, raising suggestions that he has already peaked and may not recapture the outstanding form he showed at Barcelona and Arsenal.
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Solskjaer, though, refused to accept that United's only remaining hope of silverware this season is the FA Cup.
"It's not an excuse because if I go on for 10, 20 minutes, I have to perform because that's what I'm here for, to make a difference".
But that all depends on a knock sustained before he even entered the action as a substitute against PSG. "I'm sure they'll bounce back on Monday".
"And I went back to the dugout and I said to [reserve goalkeeper] Sergio Romero: 'I've just been whacked and I'm about to go on'".
"I've got bruising but that's not an excuse for not being on my game in the way that I normally am", he said.