The technology is the easy part of this one. The harder question is which conversations you're happy to have someone else sit through.
Per a roundup I read from AIToolRanked, which cites Teslarati and the official Grok account (so this is secondhand, and I haven't tried it), xAI switched on outbound phone calling for Grok Bot on 3 November. It's reportedly limited to US users on the X Premium tier calling US numbers. The agent navigates phone menus, waits in hold queues, shows a live transcript, and says it's a virtual assistant. Marketing calls, mass calling and impersonation are reportedly prohibited. The savings demos going around are user-reported and unverified.