The midfielder admits the FA Cup was this season's realistic target for Roberto Mancini's side and hopes the "big players" will perform against Wigan
Roberto Mancini's men are on the verge of losing their Premier League crown to Manchester United, having already crashed out of the Champions League at the group stage and suffered a defeat in the third round of the Capital One Cup to Aston Villa.
City still remain in with a chance of winning a trophy this season after securing a 2-1 win over Chelsea in the FA Cup semi-final at Wembley on Sunday, and will meet Wigan in the final on May 11.
"We knew this [the FA Cup] was the realistic chance of a trophy this year," Barry told reporters.
"Where the club is now, you don't really want seasons going past without winning a trophy.
"The FA Cup is a massive one. If we can win that, fantastic. Wembley is a fantastic place to come and play.
"The big players, as we have seen over the last few years, when we come to semi-finals and finals, they generally turn up and do the business. Hopefully they can continue that until the final."