Ole Gunnar Solskjaer’s side kick-started their European campaign with a superb 2-1 victory over French champions PSG in Paris on Tuesday night.
Bruno Fernandes – captaining the side in the absence of the injured Harry Maguire – put Manchester United ahead with a 23rd-minute penalty.
PSG levelled in the second half when Anthony Martial headed into his own net, but Manchester United rallied and secured the three points through Marcus Rashford’s superb late goal.
Schmeichel says Manchester United produced a ‘brilliant’ performance in Paris and reserved special praise for goalkeeper David de Gea, defenders Aaron Wan-Bissaka and Axel Tuanzebe and goalscorer Rashford.
‘This was a magnificent win and I think it was something we absolutely needed,’ legendary goalkeeper Schmeichel told the Tunnel Insider.
‘I think we are still in this transition period and we will see some results that we don’t like and some of them that are going to blow us away.
‘This was one of them that has blown us away. I thought it was a fantastic performance and right from the back.
‘The goalkeeper played exceptionally. Wan-Bissaka and Tuanzebe came in for a difficult game against some of the best strikers in the world and they were just fantastic.
‘Up front, as well, we have got players who can, on their own, create chances and actually put them away. I think Marcus proved that right at the end.’
Schmeichel hopes Manchester United’s impressive victory can be a springboard for further success, with Solskjaer’s side facing Chelsea this weekend.
He added: ‘You would hope this win will give the players confidence. I don’t think these lads are going to get carried away.
‘It is a very, very young squad of footballers with a very experienced manager who will tell them that tonight was good, but it is something that we have got to replicate in four days against Chelsea and when we play Leipzig in a week’s time.
‘We can’t play one great game and think we are there.
‘We are still a work in progress and I think there is still some way to go before we are competitive on all fronts, but tonight was a fantastic performance and a giant step in the right direction.’