This was my initial opinion until I read the whole article.
"I got my blood tested, I had MRI scans, I had a CT scan, I had ultrasound and blood compatibility test with her. I was a match," said Allan.
Transplant guidelines in Ontario and much of Canada require patients with ALD to first qualify for a deceased donor liver. If they don't meet that criteria, they aren't considered for a living liver transplant, even if one is available.
Her partner was a willing, compatible donor, wanted to give her his liver and was prevented from doing so. So yes, this is a cruel take.
I don't know enough to be able to answer your question.
However, even if you did find a country you could do this in, you'd have to deal with the cost and time required to travel there, consult with the local doctors, get the surgery scheduled, perform the surgery, and remain for post-op care - all of which would be likely out of their own pocket.
Canada has universal single payer health care system and I have no idea how they deal with medical procedures done outside the country. I highly doubt they would cover unless they were on private insurance that allowed it.
Not everyone has the means to do what you suggest unfortunately.