The Parisians, meanwhile, started finding gaps in United's defensive set-up - beginning just after the first quarter of the game.
He said on BT Sport: "This is a reality check for this United team".
Solskjaer has passed all of the tests he has faced as United manager with flying colours so far, but there are still no signs of him getting the job full-time, however were he to negotiate a path into the quarter finals of the Champions League, it would be nearly impossible to deny him the opportunity to become the permanent successor to Mourinho.
The home side never recovered their composure as PSG produced a stunning second-half display to all but book their place in the last eight despite David de Gea's best efforts.
It is to Solskjaer's credit, accumulated over those 11 games, that there was any optimism at kick off - but the longer the game went on, the more it waned. When the final whistle blew, the thousands of empty red seats told their own story.More news: U.S. jury convicts Mexican drug lord El Chapo
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United played well in the first half but lost both Anthony Martial and Jesse Lingard to injury at half time and without two of the men integral for their turnaround they struggled in the second half.
United are a huge European and global club in many aspects but not in the one that counts most: on the pitch.
Because of United's excellent recent form, and because PSG were without two of their key players, the hosts went into the first leg as favourites.
By the time Di Maria responded to the torrent of abuse by picking up a bottle of beer hurled at him and taking a sip, PSG was already leading thanks to academy graduate Presnel Kimpembe's first PSG goal in the 53rd minute. Top four is one thing, but Manchester United should be at the top'.
"I can't do anything about Alexis Sanchez", Solskjaer said. "In such a balanced tie, that is worth so much", said Buffon. Can they afford to forget about this performance when they make the decision on who will take United forward?
Is appointing Solskjaer a gamble or a question of Woodward and the board holding their nerve and moving away from the starstruck recruitment policy that led to Louis Van Gaal and later Mourinho?