In a detailed blog post that revealed information about Zombies, Activision said squads in the mode can be “formed across platforms and generations, marking the first time in franchise history this co-op mode is available via cross-play.” Regardless of whether players are on PC, PlayStation 4, PlayStation 5, Xbox One, or Xbox Series S/Series X, everyone can play together in Black Ops Cold War.
Though the blog doesn’t explicitly state it, the Zombies mode is also likely to include cross-progression support just as the rest of Black Ops Cold War does. Activision confirmed that a player’s progress will be tied to their Activision account. This feature lets players freely switch between platforms, taking their save data to the console of their choosing. The same should be the case for Zombies data.