Arsene Wenger is "not scared" to spend money this summer, with the club already in talks over targets to strengthen the FA Cup winners
The Gunners won the FA Cup against Hull City last month to end their nine-year wait for silverware, but saw their Premier League title challenge falter as injuries took their toll on the squad as they eventually finished fourth.
Goal understands that Arsenal are on the brink of clinching a €8.6 million deal for Toulouse right-back Serge Aurier, while the club are also closely monitoring the situation of former captain Cesc Fabregas, with Manchester City set to launch an opening €36 million bid for the Barcelona star.
With Arsene Wenger promising fans a busy summer of activity, Gazidis is "confident" that the north London club will sign new players during the transfer window - but warned that the manager will have to "juggle" a set budget.
"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."
The Gunners have also been linked with Real Madrid youngster Alvaro Morata and AC Milan striker Mario Balotelli, though the former is set to hold contract talks with the Champions League winners.
Aaron Ramsey's attacking presence was sorely missed by the Gunners last season after being sidelined for much of the second half of the campaign through injury, but the Wales captain revealed his delight at being named the Arsenal fans' Player of the Season.
He tweeted on Wednesday: "I'm honoured to have been voted Arsenal's Player of the Season by the fans. Your support has been incredible the last year, particularly when I got injured, so thank you.
"I've been pleased with my form over the season, hopefully Wembley was just the start of things to come!"