Roberto Martinez's side currently lie in 18th place in the league table, locked in an increasingly perilous relegation battle, and have been beaten by City in each of their last seven encounters.
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"Winning trophies at a club like this probably isn't the first thing on your mind at the start of the season, but as each round comes along you get more excited,” Maloney told the Times of India.
“Once it gets within touching distance then you start to believe.
“We are a good team and on any given day I think we can beat any team. We are hoping that happens in the Cup final.
"Our manager always preaches that you should try and enjoy your matches and that's what we try to do. We know on our day we can beat any team. We've proved it in the Premier League.
"We've had tough games against City in the past and we know how many great players they have. But if we play at our best and pass the ball as we can, we can give them real problems.
"We beat Man Utd last season to stay up and that shows what we can do."