Physical Editions on Consoles, including CODE Editions\n\n PlayStation 4 Cross-Gen Edition: Includes a cross-gen version of Call of Duty: Modern Warfare II playable on PlayStation 4 and unlocks a free digital upgrade to play on PlayStation 5. Please note: The game disc will be required to play the PlayStation 5 version.

Games you buy for Xbox can't be used on Playstation and so. They require their on version.