The German playmaker's departure from Real Madrid in a £43m deal on transfer deadline day was something of a coup for Wenger, who had been under fire from fans for not spending money to support a long-overdue challenge for the Barclays Premier League title.
The arrival of Bergkamp kickstarted Arsenal's rise to becoming the dominant force in the English game, and Wenger accepted there were similarities between the two deals and what they might mean for the club.
"It is comparable because they are similar players in the same department and they are big names who come from big teams," he said. "You must say as well that Oezil was not perceived as being a failure at Real Madrid, he was perceived by the whole world as being a huge success at Real Madrid so of course the noise made by a signature like that is big."
"They [people] were questioning my desire to spend money, maybe the ambition as well because today the ambition is linked with the amount of money you spend. We are very ambitious, we went through a few years where we had less resources and there is no shame to say that because we have built a new stadium. Now we are back with the ambition as big as everybody else, if not bigger."
Madrid's decision to let Oezil go was greeted by disbelief from his former team-mates at the Bernabeu, the midfielder deemed surplus to manager Carlo Ancelotti's requirements following the world-record signing of Gareth Bale from Tottenham Hotspur.
Wenger is in no doubt the Germany internationalist can take his game to another level with Arsenal. "Oezil is already a great player," he insisted. "There is room now between 25 and 30 for him to become a dominant player and to make a step up from that.
"There are many players who are very, very good that make the step to being great. You have to find the right club at the right moment, having the mental dedication that is the major difference now."
With the Czech playmaker Tomas Rosicky sidelined by a hamstring injury suffered on international duty, Oezil could well go straight into the side at Sunderland on Saturday.
Thomas Vermaelen, ostensibly still the club captain despite the solid form of Per Mertesacker and Laurent Koscielny, may be included in the squad after resuming training following his back problem. It is also possible, though, that he may be kept in reserve for next week's Champions League opener away to Marseille.
Sunderland have yet to win in the Premier League, as Paolo Di Canio's new-look squad take time to settle. Wenger, though, is not expecting an easy game on Wearside. "With the history of last season, and how the new season has started, you know that everywhere you need to be at your best," he said.
"It is always tricky after national team games to get the same focus back very quickly. The job will be to get everybody to recover physically, mentally - because some players had disappointments - to get them focused again on the club results."
Nicklas Bendtner, the Denmark striker who was fined at Euro 2012 for promoting a bookmaker on his underwear, will also continue his rehabilitation with Arsenal after a potential transfer away was blocked. With the right approach, Wenger believes the 25-year-old - who spent last season on loan at Juventus - can make an impact for his side.
"I had a chat with him because I blocked his move," Wenger said. "I wanted him to stay in the end because I felt that we were short up front, that [Yaya] Sanogo might need a few months to adapt."
"As well as that, Nicklas Bendtner, with the right state of mind and the right focus, has the quality to help the squad to win things.