The French manager, who is set to sign a new contract, is the most successful coach in the Gunners' history but has failed to deliver a trophy at the club since 2005
Wenger is the Gunners' most successful manager, with 11 trophies to his name, and Gazidis acknowledged that the values he had brought to the club would continue to guide them.
But in recent years Wenger has come under increasing pressure for his failure to deliver silverware since the break-up of the team led by the likes of Patrick Vieira and Thierry Henry.
The Gunners' biggest problem in recent years has been their failure to hold on to their key players, resulting in criticism of the club's board and, on occasion, Wenger.
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The arrival of the likes of Santi Cazorla, Lukas Podolski and Olivier Giroud as well as the rise to prominence of players such as Laurent Koscielny and Jack Wilshere represents another new dawn in north London but their ambition to do more than just secure Champions League qualification has come under scrutiny.
Gazidis vehemently denied those accusations and insisted that Arsenal would "try to win with style".
Is Arsene Wenger still the man to take Arsenal forward? Is maintaining their place in the top four an achievement in itself, or is he under pressure to win a competition soon? Or should Gazidis and the Gunners look elsewhere and begin a fresh era?
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