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. :
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Amazon.com: Sony PlayStation Gold Wireless Headset 7.1 Surround Sound PS4 New Version 2018 : Video Games
Amazon.com: Razer Thresher Ultimate for PS4: Dolby 7.1 Surround Sound Lag-Free Wireless Connection Retractable Digital Microphone Gaming Headset Works with PC, PS4, PS5 : Video Games
Sony Rolling Out New Gold Wireless Headset This Month | Push Square
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