The feverish patient had spent hours in a crowded emergency room. When she opened her eyes in her Manhattan hospital room last winter, she recalled later, she wondered if she could be hallucinating: “This is like the Four Seasons — where am I?”

The bed linens were by Frette, Italian purveyors of high-thread-count sheets to popes and princes. The bathroom gleamed with polished marble. Huge windows displayed panoramic East River views. And in the hush of her $2,400 suite, a man in a black vest and tie proffered an elaborate menu and told her, “I’ll be your butler.”

It was Greenberg 14 South, the elite wing on the new penthouse floor of NewYork-Presbyterian/Weill Cornell hospital. Pampering and décor to rival a grand hotel, if not a Downton Abbey, have long been the hallmark of such “amenities units,” often hidden behind closed doors at New York’s premier hospitals. But the phenomenon is escalating here and around the country, health care design specialists say, part of an international competition for wealthy patients willing to pay extra, even as the federal government cuts back hospital reimbursement in pursuit of a more universal and affordable American medical system.

“It’s not just competing on medical grounds and specialties, but competing for customers who can go just about anywhere,” said Helen K. Cohen, a specialist in health facilities at the international architectural firm HOK, which recently designed luxury hospital floors in Singapore and London and renovated NewYork-Presbyterian’s elite offerings in the McKeen Pavilion in Washington Heights. “These kinds of patients, they’re paying cash — they’re the best kind of patient to have,” she added. “Theoretically, it trickles down.”