This article didn't seem all that great. It just claims "the prices are higher" without any substantive recommendations on how that problem can be solved.

Nonetheless, it does make one interesting point:

This is a good deal for residents of other countries, as our high spending makes medical innovations more profitable. “We end up with the benefits of your investment,” Sackville says. “You’re subsidizing the rest of the world by doing the front-end research.”

In other words, the low prices for health care found in other countries is, in part, subsidised by the American consumer. As a result, it would stand to reason that if price controls were implemented in the U.S., it could result in less medical innovation or rising prices elsewhere in the world.