United suffered their 10th defeat of the Premier League season - a feat the Old Trafford outfit had never achieved before this campaign, with two goals from Edin Dzeko and a late strike from Yaya Toure sealing the three points for the visitors.
The result leaves Man City 15 points ahead of David Moyes' men, with United back in seventh, 12 points off the top four.
It all proved a little much for some supporters, with one directing his anger straight towards Moyes in the stands, while Sir Alex Ferguson was also targeted for his role in appointing the Scot as his successor.
But Man United legend Schmiechel has questioned those not standing behind the team, insisting it is not time to play "the blame game."
Sad to read that fans has turned on Moyes & SAF, I understand everyone's frustration but I don't like the reaction........— Peter Schmeichel (@Pschmeichel1) March 26, 2014
....what happened to "We stand UNITED in good and bad times"?— Peter Schmeichel (@Pschmeichel1) March 26, 2014
I don't want to play the blame game, I wanna support the team, we are still in Champions League and bar Olympiakos away, we've played well— Peter Schmeichel (@Pschmeichel1) March 26, 2014
The Dane later tweeted back to several supporters who had replied to him with positive messages, saying that he felt " a bit better" after interacting with fans.
There was also better news for the former United goalkeeper, with his son Kasper scoring a 92nd-minute equaliser for Leicester the night before.
Schmeichel Snr also found the net during his time at Manchester United - despite being a goalkeeper - and the younger Schmeichel model managed his best impression of his father with a clinical header to save a point for the Foxes.