You cannot play multiplayer inside the story mode (campaign) of Call of Duty 4: Modern Warfare. They are completely separate executables/menu entries with different code paths, assets, and networking.
| Aspect | Campaign (Story Mode) | Multiplayer |
|---|---|---|
| Executable | iw3sp.exe (PC) / default.xex (360/PS3) | iw3mp.exe / default_mp.xex |
| Players | 1 (single-player) | 2–18 (online), 2 (split-screen 360/PS3) |
| Progression | Linear missions, scripted events | XP, ranks, prestige, unlocks, challenges |
| Maps | Unique SP maps (some reused in MP) | Dedicated MP maps (Crash, Crossfire, Shipment...) |
| AI | Scripted squads, infinite respawn | Human players only (bots only in private match PC) |
| Save System | Checkpoints / Save & Quit | Persistent profile (server-stored) |
Select "Multiplayer" from the main menu. That's the only way.