The disgruntled fans gave their verdict after Roberto Mancini's expensively assembled team had been held to a 0-0 draw by a disciplined but limited Birmingham City side.
It was their third Premier League home match without a goal and left the home fans jeering the players off at the end.
As in Wednesday's drab goalless stalemate with Manchester United, there was a distinct lack of entertainment against a Birmingham team who are just above the relegation zone.
Mancini also defended himself saying: "If you play with four strikers, it doesn't mean you score four goals. Football isn't like that, I have to think like a manager, not a supporter."
But former Manchester United striker and Talk Sport radio pundit Alan Brazil this week dismissed Mancini's chances of rbining the title to City for the first time since 1968.
He said he was "too Italian in his thinking", too cautious, not adventurous enough and relied too heavily on defence.
Platt told the BBC that Saturday's result was "hugely frustrating", adding: "I think those frustrations are born from the fact of what objectives this club has got now.
"It is no longer satisfied to be in the top 10 or the top half of the Premier League, it wants to be up there, it wants to be challenging.
"We are still in a healthy position in the league and will continue to work this week to try and rectify the problem of trying to unblock games quicker so people will have to come out against us."
Before winning 2-0 at West Bromwich Albion last Sunday, City had lost three successive games against Arsenal, Wolverhampton Wanderers and Lech Poznan in the Europa League so Wednesday's point against United could be perceived as an improvement.
However, the Old Trafford side are playing well below their best and Mancini's position is now being compared to that of Mark Hughes, who was sacked as City boss last December.
The club's owner, Shei
