Call Mercy Care Member Services at 602‑263‑3000 or 1‑800‑624‑3879, and select the "speak to a nurse" option. For Mercy Care RBHA, call 602-586-1841 or 1-800-564-5465, and select "more options" and the "speak to a nurse" option. Find a Pharmacy or Dentist - Mercy Care Advantage..