Apple TV HD has a USB-C port that allows the device to be restored with a Mac via wired connection. However, since none of the Apple TV 4K models have a USB-C port, Apple advises those using these models to contact the Apple support team for the restore process. This requirement has been eliminated with the restore method with the new iPhone.
The steps you need to follow to recover Apple TV are quite simple. After unlocking your iPhone, bring your iPhone closer to the Apple TV that shows the iPhone icon with a black background and follow the recovery steps on the screen. When the recovery process is complete, Apple TV will restart.
The ability to recover Apple TV with iPhone requires iPhone with iOS 17 and Apple TV with tvOS 17.