Arsenal go into Saturday's Wembley showdown with Hull looking to win their first trophy in any competition since the FA Cup in 2005.
Ozil, the club's record signing following his £42.5m move from Real Madrid last September, is expected to be passed fit for the final following a hamstring injury.
The 25-year-old midfielder is confident his side will have too much firepower for Hull, and feels victory will prove a springboard for further success.
"We are in the final and we want to take this silverware now. I am convinced we will achieve that," he said.
"We can win titles with this squad, this is very important for the fans as well because they have been waiting for so long.
"I am very proud of the team. We qualified for the Champions League and we are in the FA Cup final. If we can win the cup, then it will be a great season.
"However, it will be a tough game because Hull fights till the end - nowhere else other than in England are there so many teams who never give up.
"We want a victory, so do the fans, and it is important for the club as well after nine years with nothing.
"You go to Wembley, there are 40,000 or 50,000 Arsenal fans. The FA Cup is a big cup with a lot of history - it is not like the other cups in other leagues, so it is an important game.
"When I win the FA Cup, it will be great when I look back after my career."
Ozil's fellow German Lukas Podolski believes the positive attitude throughout the Arsenal squad will be a crucial factor in the outcome.
"We have a lot of players with confidence, who have played a lot of games," he said.
"We go there on the pitch and we play our game and when we play like the last five Premier League games, we will win the match.
"When you play week after week you become strong and I feel good. I think I have played very well in these last matches, so I feel good and I want to finish the season with the FA Cup."