The Gunners are determined to improve the strength of the squad ahead of next season to mount a long-overdue sustained assault for a Barclays Premier League title.
Last week Gazidis maintained improved commercial deals would see an "escalation in our financial firepower", with an additional £70million understood to have been set aside should Wenger wish to land a marquee signing. Arsenal have been linked with both England forward Wayne Rooney and Real Madrid frontman Gonzalo Higuain.
Speaking to a question and answer session with Arsenal supporters at the Emirates Stadium, Gazidis stressed everything was being done behind the scenes to secure whatever additional talent Wenger requires.
"It is a big summer. We have been working very, very hard to gain the kind of financial capability we need as a football club to be at the very top end of the game," he said.
"The ambition that (majority shareholder) Stan Kroenke, Arsene Wenger, the players, our staff and I know all of the fans have is to be competing to win the Premier League and Champions League. If we are at that level, the trophies will come.
"Those long term commercial deals have come up for renewal. You know about the Emirates (stadium and sponsorship) deal, I can't talk about the (new) kit deal yet, but we're confident of a good result there too.
"It is all about giving us the capability to go to the manager and to say 'here is the money for you to compete'. That is why we are in this stadium and that is what we want to do."
Wenger, 63, is heading towards the final season of his current contract and has been linked with taking charge at big-spending Ligue 1 side Paris St Germain, although Gazidis remains hopeful an extension can be reached with the French coach who helped guide Arsenal back into a top-four finish in the Premier League and with it another shot at the Champions League.
Gazidis added: "It is no secret that we think he (Wenger) has done a fantastic job and we think we can give him the tools he needs.
"When we are thinking about trusting someone with the type of money we will have, we can think of nobody better than Arsene.
"He is not scared to spend money, but he has to believe he is getting a top-class player.
"The parameters in which he has to operate is to spend what the club can afford and my job is to make that as big as possible and Arsene's job is to think about which talent he wants to spend that on in the best way possible.
"If we only find one player that we like, we won't spend twice as much on him just so we can say we spent all of the money. That doesn't make any sense to me - the key will be to buy the players Arsene Wenger believes in."
Wenger has always stated he would honour his contract and has already started plans for next season, when he will look to end what is now fast approaching a decade without silverware.
France Under-21 forward Yaya Sanogo is set to arrive on a free from Auxerre and Arsenal are said to be tracking several high-calibre reinforcements both from the Premier League and across Europe.
The Emirates Stadium wage bill has already been reduced by the release of Andrey Arshavin, Denilson and Sebastien Squillaci.
Other surplus fringe players like Danish striker Nicklas Bendtner, Morocco forward Marouane Chamakh and South Korean Park Chu-young are all also expected to leave this summer before the squad head out to Asia for a lucrative pre-season tour which includes matches in Vietnam and Japan.