The Spanish boss, who left Barca at the end of last season following a glittering four-year spell at the club, has been linked with a move to the reigning Premier League champions.
Mancini is already working alongside two former Barcelona men in new director of football Txiki Begiristain and chief executive Ferran Soriano, but he shrugged off speculation Guardiola could follow.
Mancini said of Begiristain: "I am very happy. He has a lot of experience with a top club like Barca. If we did well in the last two years, I think we can do better in the future.
"If people write that Txiki is here and maybe next year Guardiola will arrive or another manager, this is not my problem. I'm here, I want to continue to work well because I think we are ready to improve and build a stronger team."
Mancini insists he will retain control over City's signings despite Begiristain's appointment.
The Spaniard, who formerly held the same role at Barcelona, joined City last weekend, with the club announcing his role would include supporting the manager in player recruitment.
But the City boss expects Begiristain to fulfil the same role football administrator Brian Marwood has in previous transfer windows of completing the deals once targets have been identified.
Mancini said: "I want to decide which players we take, this is normal for every manager. I worked with Brian for three years, he was sporting director, I think Txiki will do the same job.
"I have my job and Txiki will have his job. I don't want to go to talk with other teams to buy players, this is not my job. Like every sporting director, he will talk with me before buying players."