The big-spending side finished third in the league last year, securing Champions League football for the first time in their history.
Mancini is keen for City to progress once again, though, and wants to add to the 60-goal haul of the last campaign, in which they were outscored by each of the other three teams in the top four.
"We need to score 10 or 15 goals more than last season," Mancini said in a press conference.
"If we are to win the title, we need to beat the smaller teams. After that, when you meet top teams like Manchester United, Chelsea and Arsenal, it's not always easy to beat them but it can happen sometimes.
"You can draw some, lose some, but if you can win all the other games you can still win the title.
"We'll try to win the Premier League, or at least stay at the top until the end of the season.
"It's difficult to say who can win the title: City, United, Arsenal, Chelsea, Liverpool?
"Last year, we were up there until the end of February. This time it's important that we stay up there for a long time. And afterwards anything can happen. Football is strange."
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