The competition offers City the only realistic hope of tangible reward for their season's efforts after failures in the Barclays Premier League and Champions League.
City's title defence appears over and they were bundled out of Europe before Christmas - twin disappointments in the competitions that provided their chief targets for the campaign.
That has shifted expectation onto the FA Cup but Mancini, whose own position is the subject of regular speculation, does not feel additionally burdened ahead of the semi-final against Chelsea.
The Italian said: "No, I think we have the same pressure that Chelsea have, or every team that plays in the semi-finals.
"I think it is important we have the same concentration we had against (Manchester) United and we play the same as for the last two-three weeks.
"If we deserve to win we will win. If Chelsea are better they will win. This is normal in football. It is important we have a good attitude for this game."
Striker Sergio Aguero, who came off the bench to score a superb winner at Old Trafford, is not yet a definite starter as the club manage his return from a knee injury.
Mancini said: "I don't think he is fit 100 per cent. If he was he would have played the whole game against United.
"But now he is getting better and his knee is okay. It could be that he starts."
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