Mr Quintana died the following day at the Kaiser Permanente Medical Centre in Fremont, in the USA state of California.
"If you're coming to tell us normal news, that's fine, but if you're coming to tell us there's no lung left and we want to put you on a morphine drip until you die, it should be done by a human being and not a machine", his daughter Catherine Quintana said Friday.
"This guy can not breathe, and he's got this robot trying to talk to him", she said.
"The next thing I know he's telling him, "I got these MRI results back and there's no lungs left, there's nothing to work with".
The Facebook post included a screenshot of a video taken by the patient's granddaughter, Ms Annalisia Wilharm.
Mr Quintana's daughter, Catherine, told KTVU that the family was further upset because her father had trouble hearing the doctor through the speakers, forcing Ms Wilharm to relay the awful news.
"You know, I don't know if he's going to get home", the doctor says.
Catherine Quintana's father had been in and out of a hospital for weeks, and the family understood that his time was running out.
He passed away the following day.
The doctor on the screen said there was serious damage to Quintana's lungs.
"We will use this as an opportunity to review how to improve patient experience with tele-video capabilities", she added.
Please share this.... This was regarding a friends Dad a couple of hours ago.
But they were devastated when a robot machine rolled into his room in the intensive care unit that night and a doctor told the 78-year-old patient by video call he would likely die within days.
Kaiser Permanente Greater Southern Alameda County senior vice-president Michelle Gaskill-Hames said in a statement that its policy was to have a nurse or doctor in the room when remote consultations took place. "The evening video tele-visit was a follow-up to earlier physician visits - it did not replace previous conversations with patient and family members and was not used in the delivery of the initial diagnosis".
The march of technology in hospitals has been criticised by a grieving family after a grandfather was told he would not be going home by a robot displaying a doctor on a screen.
The video meetings are warm and intimate, he said, adding that not all in-person discussions have empathy and compassion.
"We knew that it was coming and that he was very sick, but I don't think somebody should get that news delivered that way".
Wilharm said her grandfather, a family man who kept every childhood drawing he ever gave her, deserved better.