Well, the IRS started it. Basically, they tax even Americans residing abroad with no connection to the USA except citizenship. As opposed to other countries - If I depart Canada and have no connection showing I may return soon, I pay no taxes for the full years I am not resident, or on income earned abroad while not resident - except there is a basic tax on the pension I am earning from Canada… For the USA, you could have left America with your parents when you were 2 years old, technically you still must file income tax forms with the IRS on your income from anywhere.
(A number of dual citizens here in Canada were dealing with that a few years ago - since the mandatory $100,000 foreign asset declaration would ensnare most Canadian retirement savings plans - and failing to declare was a punishable offense, but declaring it put you on the IRS radar for “why haven’t you filed tax returns up until now?”. I believe they clarified the rules a bit more, but I think that was only for Canadians.)
Banks are also reluctant to deal with the spouses of Americans - since the USA requires joint filing, as I understand so the spouse is similarly creating a risk for the bank. That was an additional issue for dual citizens here, the risk the bank they dealt with for most of their life would cancel their accounts if they found out they were American.
AFAIK there’s no tax on foreign property, but you must declare assets or property over $100,000 (?) held abroad. I assume this also means if you later sell for a profit, that money is taxable in the USA. (and France?)
I assume France has similar rules to Britain about renovations to heritage buildings, if you end up going that route.
Again, you need a visa AFAIK to live/visit in the EU more than 90 days a year(?). For less than that long, why would you bother buying a property?
I know here in Canada, if I don’t have someone physically checking my house (every day or two) while I’m not home, my house insurance could be void. As others mention, I would assume a property management firm might take care of that?
Is an apartment in France like North America - here, if a condo building needs major repairs - say to a leaky roof, or garage pillars - then everyone has to chip in an assessed amount to do the work. (unless you can defer the work, like they did in Florida…) What about heat, electricity, insurance, other expenses? Like I said, you have to anticipate that the cost of the purchase is not the only expense. Not sure how municipal property taxes work in France. I also recall reading France has a “wealth tax” assessed on your total assets; not sure how that applies to foreigners, especially non-millionaires.