Manager Arsene Wenger is determined to bolster his FA Cup-winning squad to mount a sustained assault on the Premier League crown next season.
The Gunners have been linked with several players across Europe, including former captain Cesc Fabregas who is reportedly set to leave Barcelona this summer. Arsenal are understood to have an option on the Spain midfielder, who is also a target for Chelsea and Manchester United.
Toulouse right-back Serge Aurier has been touted as a potential replacement for the out-of-contract Bacary Sagna, while Real Madrid's Spain Under-21 forward Alvaro Morata is another reported to be on Wenger's radar along with Inter Milan's former Manchester City frontman Mario Balotelli.
While not being drawn on any specific targets when quizzed at an Arsenal supporters' question and answer session on Wednesday night, Gazidis insists there are movements behind the scenes to get deals done.
"Transfers are obviously important and we are deep in conversations already. I am confident we will add what we need this summer," he said.
"The manager is not scared to spend, has the experience, but as always will have to juggle a set budget.
"We are all really pleased with securing Champions League qualification again. Last season was a great experience for players to win the FA Cup and now we want more."
Wenger agreed a new contract extension last week to end speculation about his future.
Gazidis added: "Arsene is impossible to replace. He has given us the footballing philosophy we have now.
"Arsene's legacy is based on him wanting to take Arsenal to the next level, and everything he did and still does is for the future of the club."