You know this already.
Or I assumed you did. It’s been discussed on here plenty of times. Wenger hired his own boss. Gazidis may have the same title as David Dein but he didn’t inherit the same sort of stature. Dein hired Wenger. Dein was a shareholder of the club so the dynamic was totally different. He was an owner as well as some actively involved with the day to day running.
For you to draw that sort of conclusion, you’d have to understand the role of a Chief Executive and what was agreed when he was hired. Was Gazidis given the power to fire Wenger? Does it sound like he has the authority to? In most football set ups I’ve seen where a club has a majority owner, the hiring and firing are done by the owner.