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. :
Restored PlayStation 3002498 Gold Wireless Headset - PlayStation 4 (Refurbished) - Walmart.com
Sony PlayStation 4 Gold Wireless Headset Bundle - Fortnite Neo Versa PS4 | eBay
Buy Sony PlayStation 4 Platinum Wireless Headset (PS4) | Game Titans – GAMETITANS.COM