Désert médical translation
This concept is still too new for there to be a single accepted term.
Take a look at this article on CNN: "Millions of Americans live nowhere near a hospital, jeopardizing their lives"
The problem has been exacerbated as rural hospitals struggle to stay open. Since 2010, 81 rural hospitals have closed in the United States, according to a rural health research program at the University of North Carolina. Another 673 rural hospitals are vulnerable to shutting down.
Areas without hospitals are called "hospital deserts."
The author of that article, written in 2017, felt the need to explain the definition of the term. The assumption was that the audience would be unfamiliar with it.
Other sources will use either "medical desert", "healthcare desert", or more specific terms like "primary care desert"
We have the term food desert, meaning a geographical region, often in an inner city but also in rural areas, where there are few or no full-service grocery stores and therefore it is more difficult than it ought to be for residents to buy nutritious food.
The term medical desert is not especially common, but I would immediately assume it is similar to a food desert: a region where there are few medical providers and so medical care is difficult to obtain. And a quick google search indicates that the term has been used in a few web sites and publications with this meaning.
From the comments it seems the meaning is similar to the French term you asked about.