Özil had already won the FA Cup and the Barclays Asia Trophy before the Gunners latest addition to the silverware cabinet.
Theo Walcott scored the only goal of the game to ensure that Arsenal won the trophy for the third time since it was setup in 2007.
Arsenal beat Lyon 6-0 yesterday in the first game with Özil providing two assists and scoring once against the French giants.
The friendly tournament is played each summer during the pre-season at the Emirates stadium in north London. Two clubs in addition to Arsenal are invited to the tournament each year.
Arsenal have the chance to win another trophy before the start of the league campaign next week as they take on Chelsea in the Community Shield. The FA Cup winners take on the Premier League champions in the traditional season opener at Wembley.