United have already lost twice in the Premier League this season, leading some fans to question whether the former Everton manager who succeeded Sir Alex Ferguson in July, is the right man to take the club forward.
However, following their 1-0 Capital One Cup win over Liverpool, Schmeichel has backed Moyes to be a success at Old Trafford - as long as he is given time.
"We always knew that whatever happened after Sir Alex, it would be a bumpy road. Someone had to be really brave and take that job," Schmeichel told Sky Sports News.
"We knew every little thing that he does would be scrutinised and reported on in the media. It would be a debate - is he good enough?
"Has he got a few games left before he loses his game? He signed a six-year contract, there's a reason behind the six years.
"People in football have short memories. The start of last season is the same as this season you know.
"We played relatively few number of games and had two defeats one at Everton then Spurs at home and we still managed to win by 13 points.
"I listened to the radio on the way here and they're saying it's not even a top four squad, and I'm thinking 'guys where do you get this from?"