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. :
Sony PlayStation Gold Wireless Headset Review | PCMag
Amazon.com: PlayStation 4 Gold Wireless Headset [Black] : Video Games
PlayStation 4 Gold Wireless Headset Rose Gold | GameStop
Amazon.com: Sony PlayStation Gold Wireless Headset 7.1 Surround Sound PS4 New Version 2018 : Video Games
Sony PS4 PS5 PlayStation Gold Wireless Headset 7.1 Surround Sound (Rose Gold) 711719530466 | eBay