The note was penned by police and gendarmes (military police) from the country's intelligence services charged with maintaining public safety.
It was addressed to France's president François Hollande, the Prime Minister Manuel Valls, and Interior Minister Bernard Cazeneuve.
Excerpts from the letter, which was dated March 5th, were leaked by French newspaper Le Parisien on Tuesday.
"The emergency services at the hospitals are faced with saturation, which is causing tensions (including verbal exchanges and insults from patients), that are notably linked to a degradation in the quality of care," it read.
It added that these factors affected the working conditions of staff, who were "sick of the massive flood of patients".
Reacting to news of the leaked memo, Christophe Prudhomme, spokesperson for the AMUF union which represents emergency ward doctors, told The Local that a lack of investment meant the situation in hospitals was similar to that of the UK's National Health Service under conservative Prime Minister Margaret Thatcher.
"It's exactly like how they describe it. It's been like this for the last five years. Staff in hospitals are not able to fulfill their roles, which is to care for patients," Prudhomme said.
"We are in the same situation that the UK was in under Margaret Thatcher. There are people dying on stretchers because there are no beds available. It's an explosive situation.
"This all happens when you make cuts because people listen to those who argue there are too many civil servants," he said.
Since the start of winter, hospitals have been overflowing with patients suffering from a particularly hard-hitting flu virus, which has seen almost 2.7 million French people seeking medical care since the epidemic began last year.
The influx meant that the emergency care workers across the country were suffering from "burn out", the note added.
Prudhomme says what is happening in emergency wards is just a reflection of the overall "dysfunction" in French hospitals.
Last month The Local reported how the flu left hospitals around the country in a state of crisis as hundreds of patients were left on stretchers inside emergency wards because there were no available beds.
The officials' note added that strikes in certain hospitals around the country prompted by the crisis have only made matters worse.
The note continued to warn that together with the drastic cuts planned on hospital spending, the industry could risk seeing even more protests from workers.
The ministry of health announced earlier this month that it would cut €3 billion off its bill for hospital spending by deleting 22,000 posts over the next two years.
"Last week we learned of the savings plan via the press. It has only created more anger among doctors and staff," Prudhomme said.
"When you have people waiting on stretchers or you are forced to transfer them to other hospitals 20 or 30 kilometres away. Something has failed."
When confronted about the document, France's Health Minister Marisol Touraine did not directly comment on the content of the letter, but told Le Parisien that winter was always "a period of increased fatigue" among emergency workers.