The England international has made a rallying call to his team-mates in the hope of sparking a charge through the closing games of the year.
City’s campaign has fallen apart in 2015 with a run of three wins in 12 games costing them heavily in the Premier League, where they have fallen six points behind pacesetters Chelsea and in the FA Cup, which saw the team eliminated at home to Championship side Middlesbrough.
The struggles were matched in Europe as City again fell short when they were eliminated from the Champions League and outclassed by Barcelona for lengthy periods in both legs of their last-16 tie.
But Hart is not ready to concede defeat to Chelsea yet and insists City, who host West Brom on Saturday, still have a lot to play for.
The 27-year-old said: “I will never give up, ever, and I could safely say that nobody in our dressing room will ever give up either. We will see where that takes us.
“West Brom is a huge game and we turn our focus to that. We have no excuse not to throw everything at the Premier League now and give our all – to the fans, the owner, to everyone.
“Every game is a must-win now. We have no time to lick our wounds, we have to fly into that game.
“We have to win every game, and that is how we will go into it, and see where it takes us.
“We have had a few knocks this season, but we have proved it time and time again, and so have our fans, that we come back and we keep fighting.”
City’s recent form has brought heavy criticism of the team and manager Manuel Pellegrini, who could now be facing a fight to keep his job with a chasing pack of clubs closing in on second place.
Hart has previously been on the end of fierce criticism along with defender Vincent Kompany, but he believes all the negativity coming the team’s way is only par for the course.
And the keeper, who was outstanding in Wednesday’s 1-0 loss at the Nou Camp, is not overly concerned.
Hart said: “That’s part of being at Man City. We all get talked about. I have been the worst keeper in the world recently and Vinny has been the worst defender in the world.
“We have all had our moment. That’s the role of being at Man City. If we don’t win we are going to get slaughtered.”