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 4 Gold Wireless Headset Bundle - Fortnite Neo Versa PS4 | eBay
Sony PlayStation Ps4 Wireless Gold Headset for sale online | eBay
Sony PlayStation Gold 7.1 Surround Sound Wireless Gaming Headset - Black - Refurbished - Walmart.com
Amazon.com: PlayStation Gold Wireless Headset - PlayStation 4 : Everything Else