Gazidis describes Wenger as a 'giant' and says that the Frenchman has put the Gunners in a very strong position. However, the time will eventually come that the 64-year-old will step down from his role as manager, and Gazidis admits it will be a tough task to correctly identify his successor.
Speaking to the Arsenal website, he said: "So much of the attention on a football club is around an individual and that's very understandable at Arsenal because we have a giant who's managing us.
"Arsene has been a fantastic driver and has put the club in a great, great position.
"The biggest challenge we're going to face as a club is that, when the transition from Arsene to the next manager of our football club happens - and I don't know what that's going to be - that we come through that strongly."
Wenger is currently the longest-serving manager in English football and recently celebrated 18 years in charge of the Gunners, having taken control in October 1996. But Arsenal are not keen to replicate the decline that Manchester United have suffered over the last year, with Alex Ferguson finally stepping down in 2013 after 26 years in charge at Old Trafford.
Gazidis though maintains that whilst Wenger is at the helm, he will be back financially to ensure the club wins more trophies.
He continued: "Winning the FA Cup was a fantastic moment.
"In my life, that's one of my greatest moments. The moment you get away from the euphoria of the moment, the next question is, ‘How do we have more of that?'
"We want this football club to be at the top of the world's game. If the manager believes in someone like Mesut Ozil, he can buy him. It's the same with Alexis Sanchez.
"Underneath that tip of the iceberg, those star signings that we talk a lot about, there's an awful lot else going on. Our youth development, for example, is going to be the foundation of this football club going forward.
"Where we are currently is off the shoulder of the world's top teams. I don't think we're at that level yet, but that's where we're aiming to get to. We want Arsenal to be in that elite group of football clubs around the world."
By Scott Saunders
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