Sanchez started for United alongside Marcus Rashford and Romelu Lukaku against Southampton on Saturday but the Chilean global required treatment early in the second half following a collision in the oppositions box.
The 23-year-old has been farmed out on several loans and his fair share of several ups and down this season, but this fine display could prove a landmark moment for the Brazil global.
"The manner of it was like the old days", he said.
The Belgian worldwide has now scored four goals in his last two games in the Premier League.
"First half there were two situations for a penalty and I think maybe he can give one and then the game is in a completely different way".
"At the time, he probably went in and thought, "I'm going to get Solskjaer as a stop-gap".
"So I had a good feeling and I went for it".
"I've been part of that so many times myself". The second half drubbing of an erratic Chelsea (4-0) last month is the obvious highlight but that was their first Premier League home win against a "big six" side since they beat Arsenal 2-1 in January a year ago and they've lost 10 of their last 12 against the "big six" at the Vitality Stadium.
Frontman Sanchez suffered knee ligament damage in Saturday's 3-2 home win over Southampton and is facing several weeks out.
"It's a very important win for us", he told MUTV.
"In Real Madrid I won trophies, in Chelsea I won trophies, a lot of them, three Premier League trophies, which is a lot in England".
Notably, the reputed Keys and Gray show, also by beIN Sport, recently showed how other experts felt on Solksjaer's job at Old Trafford, as they felt it was seemingly "just a matter of dotting the i's and crossing the t's", before he took up the job full-time.
"Our players know what we're capable of and we've spoken about it".
It was by no means a straightforward outing for United, however, as they fell behind in the first half to a ferocious Yan Valery strike, drawing level in the second when Andreas Pereira found the top-right corner with a sublime curling effort.
"They'll look at things and say "what have you done?" His only Premier League hattrick came against Bournemouth just after he'd joined City in 2015 and he's scored in all six games he's played against them. We have to be concentrated until the end otherwise there is no chance to get something.
"What you need sometimes is to accelerate some process, what you need to be is to be a club man and sometimes to be a club man you need to forget yourself a little bit".
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