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 4 Gold Wireless Headset [Black] : Video Games
Sony Playstation 4 Gold Wireless Stereo Headset, CECHYA-0083 - Walmart.com
Sony Gold Wireless specifications
Sony+PlayStation+4+-+Platinum+7.1+Wireless+Headset+-+Black for sale online | eBay
Playstation Platinum Wireless Headset - Clove Technology
Amazon.com: Sony Playstation Platinum Wireless Headset 7.1 Surround Sound PS4 : Video Games
Sony Pulse Wireless Stereo Headset Elite for the PS3 - Sam's Club
Sony PlayStation 4 Gold Wireless Headset Fortnite Neo Versa Bundle PS4 | eBay
Amazon.com: PlayStation Gold Wireless Headset White - PlayStation 4 : Video Games