When running a cold email campaign for a client, who should manage the inbox and replies—me or the client, especially with a big time zone difference?

Either way, my recommendation is to containerize your entire offer into an ongoing service where the client pays you a set amount and you return a booked‑meeting package. This is essentially lead generation, not just handing over an AI automation system. Clients often don’t know how to turn an opportunity into a lead or appreciate the value of leads, so they need you to build the system for them. You can take the cold‑email templates and systems you already use to acquire clients and duplicate them for the client—highly leveraged, scalable, and you can add AI‑based auto‑reply features. Containerizing means bundling all the steps (Apollo search, lead scraping, Google Drive upload, etc.) into a single service where the client only sees the money‑in, money‑out exchange and a multiple on their investment. Many agencies discover this approach organically; it’s worth systematizing.