Hart was a virtual bystander throughout the 90 minutes as the hosts concentrated on keeping City out at the other end and the England keeper believes the Blues lacked invention and a creative spark.
“It was a disappointing performance,” said Hart. ”Myself and John Ruddy could have had the afternoon off.
“You have to give credit to Norwich for how they defended – they defended in numbers and made a few changes which worked for them, but I’m not really bothered about Norwich, it’s about what we do and we weren’t really good enough to win the game if I’m honest.”
City could trail leaders Leicester by 15 points by the time the Manchester derby kicks off next weekend should the Foxes win their two matches in the interim.
But Hart believes history has shown that the title race isn’t over until it is mathematically impossible and says the Blues won’t give up in their quest to win the Premier League this season.
“We’ll keep going because that’s the spirit we have here and have had since I first arrived, but sometimes it’s not good enough.
“We needed more invention, more brilliance and we relied a bit too much on that today and it wasn’t available.
“It chops and changes at the top and we have to stay consistent and true to our belief that we can still win the league, but we now turn our attention to the Champions League and then the Manchester derby after that.”