Mancini has declared he fancies lifting the Carling Cup and/or FA Cup before going for the title next term.
He told City's website: "The top four is the aim and I want a good run in the FA Cup too. Hopefully we can get to two finals.
"Sixth place in the league is not good for me and hopefully in a month's time that will have improved and we will have made progress in the cups too.
"I know how important the cups are in England, in Italy they only become so at the semi final stage."