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 Gold Wireless Headset Rose Gold 4 : Video Games
Amazon.com: Playstation Gold Wireless Headset - The Last of Us Part II Limited Edition - Playstation 4 Accessory : Video Games
Sony PlayStation 4 Fortnite Neo Versa Bundle Gold Wireless Gaming Headset Jet Black | GameStop