The Montenegro striker has endured a torrid time since making his £22million move from Fiorentina due to a succession of injuries and illnesses.
Jovetic suffered a hamstring injury in pre-season, another early in the campaign, and he then limped out of a game in October with a calf problem.
He was due to return for the Capital One Cup quarter-final at Leicester in December but went down with food poisoning and then injured a quad muscle.
The 24-year-old is now back in contention and after making two successive substitute appearances he is now anxious for more game time with a team that has clocked up 110 goals this season.
Jovetic said: "It's much easier when you play and score goals but unfortunately for me it's not been a good way to start.
"But you have to stay calm, to believe in yourself, like I did.
"I know I can do so many good things for this club. I hope I will show that in the last four months until the end.
"We have a lot of games and I hope to get my chance, and I hope to play well.
"Of course I've wanted to score but I also need to say thank you to the guys.
"They've done so well in the Premier League and we are playing Barcelona in the Champions League.
"There's a lot of games, so hopefully we'll win a lot of trophies."
City's other three main strikers have revelled in manager Manuel Pellegrini's attacking style this season.
Sergio Aguero's match-saving hat-trick against Watford in the FA Cup fourth round on Saturday took his tally to 25 while Alvaro Negredo has 23 and Edin Dzeko 16.
Jovetic, who has only two after a League Cup double against Wigan in September, said: "I'm happy for the other strikers who have got the goals.
"From now I want to get goals as well and get close to them.
"I had one problem, and then another, but that is the past and I don't want to think about the past.
"I know my value and that the fans will love me."
During Jovetic's troubles there were rumours he was unhappy in England but he insists he wants nothing more than to compete for a place in a side still challenging in four competitions.
He said: "This is one of the best five teams in the world and I am so happy to be here, to show everyone what kind of player I am.
"The problems have all gone and I will be happy until the end.
"It is hard to get into the team because they are playing so well and scoring so many goals - but I just want to be fit and play my game."