This was the first professional game that Frank Lampard was taking charge at Chelsea and the Blues started off in fine form as they could have easily taken the lead right after kick-off.
Next up, Chelsea will take on Liverpool in the UEFA Super Cup and everyone will be waiting to see what changes, Frank Lampard will make to his starting XI.
Aaron Wan-Bissaka and Harry Maguire made full debuts and impressed.
The new Blues boss believes Pulisic, signed from Borussia Dortmund, needs to be eased in gradually.
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Lampard admitted that the match had been a "reality check" for his young team, but refused to make excuses over missing global stars as the reason for the result.
De Gea was at fault with a series of high-profile errors towards the end of last season, but the Spaniard - handed the captain's armband in the absence of Ashley Young - looked back to his old self as he beat away another two powerful drives from Emerson after the break.
'For me, it was just going out there and enjoying it, and obviously if I get an opportunity try and take them, and thankfully I did'. In 245 Premier League games, he scored 85 goals and racked up 54 assists. "I give the maximum each time I am on a green pitch".
However, the heart of the Chelsea defence always looked fragile.
Having spent 13 years at the club playing under several managers, Lampard knows Chelsea well enough to understand that a juggernaut going in the wrong direction can be hard to stop.
The big question entering this one was where would the goals come from?
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Capped off a dream debut at Old Trafford with a goal, and his celebration showed exactly how much it meant to him.
Pulisic started on the bench and subbed in for Ross Barkley in the 58th minute. "It wasn't a 4-0 game for long periods, but we need to accept it".
The tempo of United's play was higher than in numerous laboured performances of last year and the way United ran away with the game in the second half suggested their fitness levels, something Solskjaer and his staff have focused heavily upon, are at a much healthier level than a year ago.
But Lampard rejected his former manager's claim by insisting more experienced players like N'Golo Kante, Olivier Giroud and Willian were not available to start. That is Pulisic's challenge.
Hazard also had quiet games at Old Trafford, but he made amends soon enough by delivering a big contribution when it mattered.
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