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. :
Best Buy: Sony Gold Wireless Stereo Headset for PlayStation 4, PlayStation VR, Mobile Devices and Select PCs White 3003339
Sony PlayStation 4 Gold Wireless Headset Bundle - Fortnite Neo Versa PS4 | eBay
PlayStation Gold Wireless Stereo Headset review | TechRadar
PlayStation 4 Gold Wireless Headset : Amazon.co.uk: Electronics & Photo
Sony Playstation 4 Gold Wireless Stereo Headset, CECHYA-0083 - Walmart.com