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 - PlayStation 4 : Everything Else
Sony PlayStation Gold Wireless Stereo Headset for PS4 and PS3 | Groupon
Sony Gold PS4 Wireless Stereo Headset Review — Gadgetmac
Amazon.com: PlayStation Gold Wireless Headset - PlayStation 4 : Everything Else
Sony PlayStation 4 Fortnite Neo Versa Bundle Gold Wireless Gaming Headset Jet Black | GameStop
PS4 Gold Wireless Gaming Headset Playstation 4 Gold Also PC & MAC Compatible | eBay
Sony Playstation 4 Gold Wireless Stereo Headset, CECHYA-0083 - Walmart.com
Sony PlayStation Ps4 Wireless Gold Headset for sale online | eBay