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. :
Amazon.com: PlayStation 4 Gold Wireless Headset [Black] : Video Games
Pre-Owned PlayStation Gold Wireless Headset 500 Million Edition (PlayStation 4) (Good) - Walmart.com
Sony PlayStation Ps4 Wireless Gold Headset 711719455165 | eBay
Genuine Sony Playstation 4 Gold Wireless Headset - No Dongle - Works | eBay
Gold Wireless Stereo PlayStation 4 White Headset [Sony] Discontinued 711719520863 | eBay
Amazon.com: PlayStation Gold Wireless Headset - PlayStation 4 : Everything Else