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 Fortnite Neo Versa Bundle Gold Wireless Gaming Headset Jet Black | GameStop
Amazon.com: Sony PlayStation Gold Wireless Headset 7.1 Surround Sound PS4 New Version 2018 : Video Games
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Amazon.com: PlayStation Gold Wireless Headset 500 Million Limited Edition - PlayStation 4 [Discontinued] : Video Games
Sony PS4 Gold Wireless Headset | Can I Fix It? | Qubits Tech - YouTube