2-Player Local in Call of Duty: World at War (Wii): Not Supported

Call of Duty: World at War on Wii does not have split-screen local multiplayer.

• Online only: Multiplayer requires WiiConnect24 / Nintendo Wi-Fi Connection (shut down May 2014).
• No LAN, no ad-hoc, no split-screen campaign or zombies.
• Single-player campaign and Zombies mode are solo only.

Workarounds (Not Recommended)

• Dolphin Emulator (PC) + Netplay: Host a local netplay session with two controllers — technically "local" but requires two PCs or one powerful PC + two instances.
• Private Server (Wiimmfi): Restores online play. Still no split-screen.

CoD Games WITH Wii Split-Screen

• Call of Duty: Modern Warfare — Reflex Edition (Wii port of MW1) — Has 2-player split-screen multiplayer.
• Call of Duty: Black Ops (Wii) — Has 2-player split-screen multiplayer + Zombies.

If you want couch co-op CoD on Wii, play Modern Warfare Reflex or Black Ops.