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. :
PlayStation 4 Gold Wireless Headset Rose Gold | GameStop
Sony PlayStation 4 Gold Wireless Headset Bundle - Fortnite Neo Versa PS4 | eBay
Best Buy: Sony Gold Wireless Stereo Headset Black 3002498
Sony PlayStation Ps4 Wireless Gold Headset for sale online | eBay
PlayStation Gold Wireless Headset review - SoundGuys
PlayStation Gold Wireless Headset - Gray Blue (Uncharted 4 Limited Edition) for PlayStation 3, PlayStation Vita, PlayStation 4
Best Buy: Sony Interactive Entertainment Gold The Last of Us Part II Limited Edition Wireless 7.1 Virtual Surround Sound Gaming Headset for PlayStation 4/VR Steel Black 3004244