The 21-year-old began Solskjaer's reign as United's main centre-forward but has moved back to a wide role, with Romelu Lukaku coming in to score six times in three matches, including twice in the French capital.
"We've had a couple of blips but that's nine away matches (won in a row) now, they're not easy games".
A disappointed Tuchel, who said the late penalty decision by the video assistant referee (VAR) was 50-50, felt that fate had been cruel to them.
"I'd say from repetitions, you just get what works best for you. I wouldn't like to be a defender with them two running at me".
"I would say, in relation to Ajax, by the tactical perspective and also by the mental aspect of their game".
"He wanted to come back with us in the quarter-finals and he's been biting his nails at every game we've played without him, so don't be too harsh on him".
"They are the referees and all three of them gave the penalty", said the Brazil worldwide.
"Let the time pass by, then we'll take a decision".
His compatriots, club captain Thiago Silva and Marquinhos, offered a more measured perspective, stressing the need for the team to reflect on the defeat.
"I don't think a lot has changed", Solskjaer continued.
That United was without several first-choice players due to injury and suspension, including France midfielder Paul Pogba, made the victory even more surprising.
United striker Lukaku echoed Shaw's sentiments by saying Solskjaer is "going to stay, there's no doubt about that", before asking: "What else does he have to do?"
United have been in fine fettle since replacing Jose Mourinho with Solskjaer. "I'll be surprised if Solskjaer is not awarded the job during the worldwide break [in March]".
"He will. He'll probably be the king of Norway, the president of Norway and the prime minister of Norway as well." he said.
And they bagged their crucial third of the night - to put them ahead on away goals - when Marcus Rashford dispatched a stoppage-time penalty after VAR intervened to spot a handball by Presnel Kimpembe.