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 - Uncharted 4 Limited Edition : Video Games
Amazon.com: PlayStation Gold Wireless Headset White - PlayStation 4 : Video Games
PlayStation Gold Wireless Headset Review (2018): Finally Golden | WIRED
Gold Wireless Headset | Features and Enhancements | PlayStation - YouTube
PlayStation Gold Wireless Headset - PlayStation 4 : Everything Else - Amazon.com