As a result City's lead at the top of the Premier League has been cut to two points, and Roberto Mancini's side could be usurped at the top by the time they face Arsenal on Sunday.
But according to Hart talk of the club crumbling under the pressure in the title race, now their lead has been cut, is far of the mark.
"We will leave other people to speculate about our season and our title credentials," he told The Sun.
"We are thinking just about us and what we need to do. Yes, we know there will be even more scrutiny now.
"But there is no crisis here, we are not in a barren run. We are still creating chances, still scoring and, hopefully, we will put everything right again on Sunday.
"We'll dust ourselves down and be ready for what is now a massive game against Arsenal.
"Every single game is a huge test for us because of what we are trying to achieve here. It's a massive pressure playing for our club.
"But it's only a pressure because we are a good team and we should be winning every game. That's a good pressure and we should embrace it because we are very lucky, we are blessed.
"We have a great chance in the league. I think we can do it. We are top of the pile and I couldn't care less who is chasing us," he added.
"It doesn't make any difference to me if it's Manchester United or not. We want to keep everyone behind us.
"We are not trying to prove anything to anybody, we're not doing it so we can say 'Shut your mouth, look what we have done!'. We are doing it because we all want to be winners."