Telecommute from France for US Company

Technically, if you are physically present and residing in France while doing the work, you are considered to be "working in France." Given that your employer doesn't have offices in France to pay you on a regular French payroll, you would have to set up some sort of "contractor" arrangement whereby you bill your employer for your work and then pay your French cotisations (and eventually income taxes) to the French government.

For US tax purposes, you should be able to claim the overseas earned income exclusion - though you still have to file in the US (and there are some "tricks" to filing your return for the year you first qualify for the exclusion, especially if you move to France mid-year).

That's how it's "supposed" to work. However, if you are looking to continue making your US contributions to social security and any other benefit plans your employer may have going, it is possible under the US-French social security treaty to put off enrolling in the French social security system for a couple of years. You will, however, still have to pay French income taxes.

Your best option may well depend on what your real reason is for moving to France. If you are likely to stick around for the long term, you probably want to get into the French social security system right away. If you're on a temporary transfer (say, with a spouse) and planning on returning to the US in a couple of years, you'll do better to maintain your US social security and benefit plans.

And another thing to consider should you go the contractor route (i.e. your US employer pays you but without deducting any social security and taxes), is to make sure that what you are paid covers your telecommuting expenses (stationery supplies, Internet connection, equipment you need, etc.) as well as the added cost of paying your own cotisations as a business or self-employed person.
Cheers,
Bev

Thanks to your dual nationality, you are a French citizen and you need no visa to enter France. Moreover you will not be required to have a work in France to have the right to live there; France never refuses entry of its citizens.
The relevant question is the visa status of your spouse and kids. As you are French your kids maybe also have the French nationality, otherwise they can obtain it.
In your particular case, your job could be described differently depending on how one decides to look at it….
One way could be to consider that you are working for a US company which pays you in bucks in the US for a work done somewhere else irrelevant as you finally hand up said work to your boss in the US. In a certain way, the job of an international reporter looks likewise and such a reporter will certainly be deemed as working in his/her boss’s country.
If you choose to consider yourself in a similar situation you could “just forget”, at least for a time, to think about the job question and “just” live in France from your foreign capital. Yet, I am afraid that if you keep living in France for too long on your foreign money there will be a point where, as a good French citizen, you will have to start informing the “fisc” of your revenues.
It could only work for a limited number of years but this should enable you to keep your benefits and coverage running on in the US (albeit blocked there). On the opposite, for coverage in France you will probably have to opt for the same social security as a French “rentier” (a rich non worker). Anyway, this scenario would allow an easy return “home” if need be.