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. :
Best Buy: Sony PlayStation 4 1TB Console Gold 3002191
Sony Playstation 4 PS4 Game Console Gold 1TB Brand New | eBay
Limited Edition Sony PlayStation 4 Slim 1TB Console - GOLD - Brand NEW | eBay
Amazon.com: Sony PlayStation Gold Wireless Headset 7.1 Surround Sound PS4 New Version 2018 : Video Games
Custom Headset Decal – Top Band – Playstation Gold Wireless – FlamingToast
Amazon.com: PlayStation Gold Wireless Headset White - PlayStation 4 : Video Games
Sony PlayStation Gold Wireless Stereo Headset for PS4 and PS3 | Groupon