The Gunners have not won a trophy since 2005 when Vieira scored the winning penalty in an FA Cup shootout win over Manchester United in Cardiff.
However, the Londoners believe that their silverware drought could end this season, as they currently lead the Premier League by five points.
Vieira is now on the coaching staff at Manchester City and will welcome his former club to the Etihad Stadium on Saturday.
Speaking about the Gunners ahead of the clash, Vieira told reporters: "When you look at Arsenal, they play fantastic football.
"But sometimes you need to win games playing badly, and I don't think Arsenal are capable of that at the moment.
City are currently six points behind Arsenal in fourth place.