Can You Play Combat Training in Black Ops (PS3/360) Without Xbox Live / PS Plus?

No. Call of Duty: Black Ops Combat Training (bot matches) requires an active Xbox Live Gold (360) or PlayStation Plus (PS3/PS4) subscription to access the multiplayer menu where it resides.

Why

• Combat Training is a multiplayer mode — hosted on Treyarch/Activision matchmaking servers.
• Platform holders (Microsoft/Sony) gate all multiplayer behind paid subscription (Gold/Plus).
• No offline/local bot mode exists in Black Ops 1. (Black Ops 2/3 added "Local" bot match vs AI without Gold/Plus.)

Workarounds (None Official)

• System Link (LAN): Connect two consoles via Ethernet / crossover / switch. Requires two copies, two consoles, two displays. Gold/Plus not needed for System Link.
• PC (Plutonium / IW4x): Community clients unlock Combat Training offline, custom bots, mod support, thousands of players. Best way to play today.
• Xbox 360 RGH + Xex Menu: Launch mp_zm map directly — unstable, no bots, no stats.

If you only have one console and no subscription, you cannot play Combat Training in Black Ops 1. Upgrade to Black Ops 2/3 for offline bots, or play on PC via Plutonium.