The Europa League would appear to represent the club's best bet for a first piece of silverware since the 1976 League Cup, having secured a place in the last 32 with a match to spare. But City also have the FA Cup to aim for, as well as the Premier League given they are only three points adrift of new leaders Arsenal.
"We need to keep fighting in order to win a title, just like we have been doing," Tevez told www.mcfc.co.uk. "That could then turn into many more trophies."
He added: "Three years ago Manchester City were a team who used to finish in the bottom half of the table. Nowadays we are always battling to be in the top four and trying hard to become one of the great teams.
"That shows we have grown tremendously in just a couple of years. But people need to remain very patient. You don't build a great club overnight."
Despite the stirring words, it is hard to escape the conclusion that the off-field problems must come to an end before Roberto Mancini's side can fulfil their potential.
Tevez's touchline row with his manager at the weekend did not paint a picture of unity and neither did the training ground punch-up between Mario Balotelli and Jerome Boateng 24 hours earlier.
And at the start of the season Tevez needed to seek out Kolo Toure for a chat after being surprised to discover he had inherited the captain's armband from the Ivorian.
"I went to tell him what I was thinking, that I was as surprised as anyone at Roberto's decision," said Tevez.
"It is hard to swallow because if I had managed to get the captain's armband and it was taken from me I would be really gutted. I would appreciate the new captain coming to speak with me. So I put myself in his position and did what I felt had to be done as a man."