maybe

I'm not sure you'll find an equivalent. The term I'm offering here is used at Massachusetts General Hospital, one of the leading hospitals in the U.S. – see the first link for this:
"The Critical Care Division of the Department of Anesthesia, Critical Care and Pain Medicine is comprised of specialized medical intensivists holding board certification in critical care in addition to anesthesiology, surgery, or medicine. Our Division of Critical care is one of the oldest in the country. It began operating in the early 1960s as a unit specializing primarily in the care of complex patients with respiratory failure. Over the years, the practice of our Division has expanded to all branches of critical care medicine. Currently, our Surgical ICU admits critically ill patients that have undergone major vascular, thoracic, orthopedic, and general surgical procedures, as well as patients who have suffered from trauma and severe infections.

"Our 20-bed Surgical ICU is staffed 24 hrs a day with attending intensivists from the anesthesia and surgery departments and has continuous in-house coverage with trainees from various Departments."

There are other examples in a Google search for "critical care division" + "hospital" at the second link.

"•anesthesia clinic means: a space within the hospital in which you can talk to an anesthesiologist and a nurse in the days before your surgery"
http://www.ispub.com/journal/the-internet-journal-of-health/...