The PlayStation Gold headset is probably the only wireless headset which is directly compatible with PS3, PS4, PS5, Android, PC, Switch (Personally tested) Get hold of them before they are super rare. :
How Do I Connect Bluetooth Headphones To PS3? (Step By Step Guide) – Arkartech
PS3 PULSE Wireless Stereo Headset Elite Edition Unboxing (New PlayStation 3 Wireless Gaming Headset) - YouTube