The French Champions were without Brazilian star Neymar Junior, Edinson Cavani, and Thomas Meunier - all of them are likely to be available for the return leg whiles United will be without Paul Pogba who was sent off late in the game for a second bookable offence.
The loss was the first under caretaker manager Ole Gunnar Solskjaer in his 12th match since replacing Jose Mourinho and also the heaviest-ever home defeat for United in Europe, having previously only been beaten by one-goal margins.
"Juan [Mata] got on the ball to create a few bits but we maybe need to find a new way to play when Anthony and Jesse are out".
Fans will be waiting with bated breath for a diagnosis on both as United face a trip to Chelsea in the FA Cup on Monday, before tough Premier League games including rivals Liverpool's trip to Old Trafford, all ahead of the second leg. "It's a mountain to climb, but not impossible".
"You can't place all the burden on Mbappe", he said, as quoted by BBC Sport. We will go to Paris to give it a go.
PSG are fuelled by fierce ambition and Qatari billions and yet even they are struggling to establish themselves among the big Champions League players - but on this evidence they are still far in advance of United. "Whoever feels sorry for themselves will not play probably against Chelsea".
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If United are to progress in the tie, they have to go to Le Parc de Princes and claim an outright victory against the home team, who may also have Neymar and Cavani back in the mix by then.
Former United winger Di Maria, booed from the outset by sections of the crowd, had the last laugh when he collected a fine pass from Marquinhos and set up Mbappe for the second goal.
The manager said, "It looked like the game we thought it was going to be. That's a big blow because he's been fantastic for us".
Solskjaer, who had won 10 of his 11 games in charge before this clash, admitted his team were a step below the French champions.
'I think he was lucky because it was not necessary, ' said Tuchel. I'm happy he stayed confident.
The end of Solskjaer's unbeaten start as United's interim boss was an ordeal at times for the 45-year-old, whose selection and game plan were exposed by his opposite number. If you tease him it doesn't make him weaker, of course'.
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