How many Americans pack a bag or two and go to live in a "foreign country" for a few months, then move on to another "foreign country" for a few more months, I am not certain. Possibly, it is more common than I realize. I do know that I never have met anyone who actually has done it.
Most people, other than those whose American-based company assigns them abroad or students who are attending school overseas usually travel with a tour group, and then return home to resume their "normal" lives. At least, this is the case as far as I know.
There always have been Ernest Hemingways, for example, who move from mid-America to Paris because they think (hope ??) the Parisian atmosphere will somehow assist them to write a great novel, or a Robert Louis Stevenson-type, who leaves his native British Isles to embark on an extensive walking tour of Europe to learn, to see with his own eyes, and to experience what he has read in books. In the case of Stevenson, as an attempt to improved physical health, as well.
In recent months, I have encountered people who think a particular city or country is magical. Those who know me understand that I find nothing made or even dreamed by mankind to surpass nature, and someday I want to return to a house atop a hill in the woodlands by a river or a lake. Before and until that time, life will be a search for the right location.
And, to my way of thinking, a person either carries magic within or does not. The magic, therefore, is not in a place as much as it is in specific people.
Therefore, I will live most of the Winter, all of the Spring and part of the Summer in cold and snowy northern Europe because my search has led to a specific magical person named Magdalena. In the summer, I will move along to hot and sunny southern Europe. Rumor has it that Italy will be the destination country. And, from there ….