Call of Duty: Black Ops III supports two-player split-screen online play in Multiplayer or Zombies game modes. Xbox One and PlayStation 4 support split-screen for up to four players in Multiplayer, but only in local play.

How to disconnect from the internet on a PS5.

1
Start MW3.
2
You'll get an error message with the option to either Retry or Go Offline.
3
Select Go Offline.
4
You'll now be able to access all of MW3's offline modes.