Reports in Spain have suggested that City have already reached an agreement over Mancini's successor, with Malaga coach Manuel Pellegrini tipped to take over in the summer.
The 48-year-old City manager reflected on his time at Italian club Inter where he won an impressive haul of silverware but still lost his job.
|THE FA CUP FINAL
MAN CITY VS WIGAN
|PLAYERS TO WATCH
|Roberto Mancini's team has not been on fire in front of goal lately - they have scored only five goals in their past five games - but Toure, at his best, can push them to another level. The Wigan midfield, although talented, will struggle to cope with his physicality.||The gifted 22-year-old is the standout player in the Wigan team and, with a host of top clubs rumoured to be interested in his signature, will test himself against the best at Wembley. The stage is set for a career-defining display.|
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"This is football, I know football enough to understand this.
"But, in this moment, it’s better that we think about the final. After we have time to talk about everything. I want only to do my job well if it’s possible and continue to win every year. This is my target.
"I don’t have other situations where I want to improve. It’s important for every club to have a manager who can take a lot of decisions about the team.
"But now it’s important we win this trophy. The FA Cup is important for every club."
Mancini has won two trophies in his spell at Manchester City, the first one being the FA Cup in 2011.
"When you talk about Sir Alex Ferguson, and everything he won, he won five FA Cups. For him, it’s important; and for every club, it’s important. The FA Cup is an important trophy in England.
"When you play a final at Wembley, it’s different. It’s an important moment for us and for the club. The FA Cup is the second trophy in England after the Premier League. It’s an important trophy for everyone.
"For us it’s the second final in two years. We have the chance to get another cup and we want to do a good job. But we know it will be difficult.”
Although City go into Saturday's showpiece heavily backed to win it, Mancini said: "I don’t think in the final there is one team who are the favourites.”
His team squeezed out a 1-0 home win over the Latics just three weeks ago, and he added: "When we played Stoke in the final two years ago we were favourites and we had problems because they played really well.
"I think this year will be the same, because Wigan are a good team. Every game we play against them we have a problem. We never win easy."