The OP's father probably is eligible for Medicare. But it can be very difficult to navigate the bureaucracy on behalf of a parent if he/she hasn't authorized their children or others to do so, well in advance of any disability. Been there, done that, many times.

My grandparents were fortunate to have excellent insurance -- Blue Cross/Blue Shield -- and they were still eligible for Medicare coverage of some costs. But both were extremely stubborn about giving up any control over anything until it was well beyond too late. My grandmother lived another 12 years after my grandfather, and she struggled to keep up with the paperwork burdens he had always handled, yet she never learned any lessons from the experience. She still refused to give up any control, even to my father who was designated as the executor of her estate, yet had limited ability to actually accomplish much because he was in a different state. I was the nearest relative and the actual caregiver, and did most of the leg work and paperwork, yet had very limited authority to make and decisions.

It was a mess. And it never gets any easier.

Despite my mom's friends who are her peers -- same age, longtime friends, who have planned well for their eventual disabilities -- and advice from her many doctors and specialists, including again this week, to relinquish some decisions to me to handle her medical and legal affairs, she keeps finding excuses to delay the process. Yesterday she agreed with everyone during her doctor's appointment, at which I was present, to give me full power of attorney. Today, she's backtracking and implying everyone is plotting to put her "into a home" -- which usually means "a nursing home for lunatics and drooling senile old people".

It ain't easy. I've known trained professional psychologists, psychiatrists and social workers who spent careers specializing in the most difficult cases, and still couldn't cope with their own parents as they aged and became more and more difficult.

Few people are willing to admit they might reach a point where they can't look after themselves and their own business and personal affairs. Even when all the signs are obvious they seem to believe everything will get better.