When does my employer coverage actually end? (Cincinnati)

HR said my health plan continues for a bit and I do not understand how. I have read a lot of threads here and could not find my exact situation. I do not want to be surprised by a bill. What should I do about appointments?

Keep a copy of any coverage confirmation in case of later disputes.

Thanks for writing this out. I went through something close to it last year, and it settled down once I kept a simple log of every call and form.