However, the 55-year-old led his side to a 2-0 win over Burnley at Turf Moor on Sunday and afterwards lavished praise on the club's fans, claiming that their support has been "vital" in helping the team secure a return to winning ways.
Schmeichel, who made 398 appearances for United across all competitions, believes that the Portuguese will deliver greatness to Old Trafford if allowed to, pointing to the manager’s resume to illustrate his thoughts.
"He's been at great clubs," the former Denmark goalkeeper said. "Real Madrid, Inter Milan. He won the Champions League with Porto. Three Premier League titles with Chelsea. He's done so many great things in football.
"But Manchester United is a different level to anything. The scrutiny, the traditions and the history that we have. We have very proud traditions.
“Every single day, we respect our history. We finished runners-up last season from fifth the campaign before. We're straight into the Champions League this year, we won the Europa League and we've been in two FA Cup finals.
"This is great. These are very positive things. When we give him time and patience, when we understand this is a period in which we have to develop, we can win the Premier League."
Schmeichel is fondly remembered on Sir Matt Busby Way for his vital contributions in goal during the treble winning season of 1998-99 under Sir Alex Ferguson, and the former shot-stopper believes that the weight of expectation upon the club’s managerial hierarchy has only grown heavier since.
"You can't just walk into Old Trafford and you're there,” the 54-year-old added. “There's so much to get used to.
"Every single place that he goes, he will not meet one or two United fans, but big numbers. They live and breathe Man United. This is what the other clubs don't have in those kind of numbers.”