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 PS4 Gold Headset 500 Million Limited Edition Translucent Blue | eBay
PlayStation 4 Gold Wireless Headset (The Last of us 2 Limited Edition) - GamerzVania
Amazon.com: PlayStation Gold Wireless Headset - PlayStation 4 : Everything Else
Sony PULSE 3D Wireless Gaming Headset for PS5, PS4, and PC White 3005688 - Best Buy
Amazon.com: PlayStation 4 Gold Wireless Headset [Black] : Video Games
PlayStation Gold Wireless Headset Review (2018): Finally Golden | WIRED
Sony PlayStation 4 Gold Wireless Headset - Black | GameStop