The Sky Blues went behind to a last minute Robin van Persie free-kick after fighting back from a 2-0 deficit.
Mancini felt his team’s efforts over the 90 minutes deserved a share of the points:
“For 20 minutes they didn’t touch the ball and the first chance they got, they scored a goal,” The Italian told SkySports after the game.
“We recovered very well and we dominated the second half.
“We wanted to win the game and we had chances.”
Despite the relatively early stage of the season, speculation had been rife in to the build up to the game that the winners would have a clear advantage in the title battle.
The Red Devils moved six points clear of their rivals at the top of the table, but Mancini feels that the fight is far from over:
“We have showed we are a really strong team and we can win this title again. We can’t win always.
“There is a moment when you lose at home and it happened today. But the season is a long one.
“We won the league with the last touch of the ball last year. But we didn’t deserve to lose this game. We played very well.”
Wayne Rooney struck twice to give United a 2-0 lead, before goals from Yaya Toure and Pablo Zabaleta levelled.
Van Persie provided the winner as his deflected free-kick evaded Joe Hart.