Malaga coach Manuel Pellegrini is again being linked with Mancini's position even though the Italian could win a third major trophy in three seasons with victory over Wigan at Wembley.
Mancini has been the subject of scrutiny throughout a generally disappointing campaign in which City have failed to defend their Barclays Premier League title and struggled in Europe.
Mancini: "I won seven trophies at Inter in four years and they sacked me after four years.
"This is football. I know football enough to understand this situation.
"I only want to do my job well, if it is possible, and continue to win every year. This is my target.
"I think it is important for every club to have a manager who can take a lot of decisions about the team, but now it is important we win this trophy.
"Every game we play against Wigan we have had a problem. We never win easy.
"First of all, they try to play football, always.
"Also, when they are losing a game, they continue to play football because they want to attack with a lot of players, and when they attack they are very dangerous.
"Never do they stay back too deep to defend the result.
"They don't play only counter-attack, they play football, they play to win."