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. :
Can I use my PS4 headset with my phone? | Android Central
Amazon.com: Sony PlayStation Gold Wireless Headset 7.1 Surround Sound PS4 New Version 2018 : Video Games
Sony PlayStation Gold Wireless Headset Review | PCMag
Sony Gold PS4 Wireless Stereo Headset Review — Gadgetmac
Sony Playstation 4 Gold Wireless Stereo Headset, CECHYA-0083 - Walmart.com
Sony PlayStation Gold Wireless Headset: Limited Edition The Last of Us Part II Noise cancelling Gaming Headphone Bluetooth - Black | Back Market