The Italian helped City seal their first title in 44 years on Sunday, but his side were disappointing in their maiden Champions League campaign, crashing out at the group stages.
|MAN CITY CROWNED CHAMPIONS
|City left it late but secured their first title in 44 years after a 3-2 win over QPR
And Mancini admitted that a mixture of luck and good results will be vital to their European campaign next time around.
"We need to improve," he told reporters.
"The Champions League is a very difficult competition, you need to be lucky and in good form in February, but I think we can do well next year. I think Manchester City now is in a good way."
The former Inter boss also praised the Premier League, insisting winning it is the best achievement in European football.
He added: "It is not easy because we have to fight every year against top teams like United, Chelsea, Liverpool, Arsenal, Tottenham - but if we continue to work like this we can have a big future.
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"I am very happy because in England it is the best championship in Europe. The Premier League is a fantastic league and I am very happy to be here."