He said: "In the first half it was a bit hard for him playing right in front of me and losing many easy balls".
"This is a top, top team that we played against". I'm happy he stayed confident.
Without two of its usual front three, the French league leaders commanded the midfield instead, with Marco Verratti often the orchestrator. "That's the level we want to get to".
But Tuchel recognised he was United's most influential player and used Marquinhos to nullify him completely. It is not over yet as there is the second leg at home, which we need to focus on.
For all PSG's injury problems, a double blow also rocked United in the seconds before half-time and at the break as Jesse Lingard and Anthony Martial limped off to be replaced by Alexis Sanchez and Juan Mata.
"I can't do anything about Alexis Sanchez", said Solskjaer.
"If it had been just one player under-performing under Mourinho, Pogba would have been sold".
The English giants will also have to cope without Paul Pogba in three weeks' time as he was sent off for two yellow cards a minute from time to round off a bad night for the hosts.
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Neville gives them little chance of turning the tie on its head, with it likely that the hosts will have Edinson Cavani back in their side by then - even if Brazilian superstar Neymar will still be sidelined.
People have said Solskjaer has enjoyed the rub of the green in his first few weeks in charge - but he was very unlucky there.
Aside from victories in north London against Arsenal and Tottenham, facing PSG was United's biggest test since beating Italian champion Juventus at Turin in November in the group stage.
Maybe they can do the same in Paris, but few are expecting it after the reality check dished out by a team who have been built to win the Champions League.
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.
However, while a second-leg comeback may appear unlikely at the time of writing, it's worth remembering that PSG infamously bottled a 4-0 aggregate lead over Barcelona two years ago.