Having finished the season in fine form, with a ticket to the final qualifying round for the Champions League safely secured, Gazidis is now determined to help the club achieve tangible success.
"It is important to reiterate that for everyone at the club, qualification for the Champions League is not our ultimate ambition," he told the club's website.
"Our majority owner Mr Kroenke has made it clear that while it's an achievement to make the Champions League, our ultimate objective is to win the major trophies.
"We all share that clear ambition and will be driving the club forward to achieve it.
"Arsene and I have already been planning what we need to do to strengthen so we are better placed next season.
"One thing is certain - the club is in a very strong position to move forward and our form of losing just one of our last 16 Premier League matches shows that we have a solid foundation on which to build for success."