I had this problem too.
I downloaded apple sample code.
https://developer.apple.com/documentation/avkit/playing_video_content_in_a_standard_user_interface
This code works fine for iOS 16. Video player options are visible.
I found differences with my code.
I added only view from AVPlayerViewController, but I didn't add AVPlayerViewController
old code:
container.addSubview(playerViewController.view)
new code:
parent.addChild(playerViewController)
container.addSubview(playerViewController.view)
Now it works fine