Guess why I didn't even try to answer the question I have seen various overseas magazine article on French country style and even they vary greatly and I ask myself why they term "French country" style.Not a bad idea, EH. Your wish....
But now comes the big question: what exactly do the French call what you would consider "French country" furniture? I did a quick Google of the term and from the pictures I came up with, the best source would probably be either a high end furniture shop or a good quality brocante.
Perhaps if the OP gives some further explanation of the kind of furniture he is looking for, we could help. I've done a bit of research and suspect that what he/she terms French country style might sometimes be termed traditional English style here.
Are we looking more for antique (or faux antique) heavy timber furniture - eg. the armoires. bonnetieres, vaisseliers etc that usually come with a separate carved head piece and base - or something else? Highly (French) polished, or not? What about easy chairs and sofas (I have no idea at all what would be considered 'French country style' for those)?
OK, now we're talking! Google "meubles provencal" and you'll find a whole bunch of sites online that carry what (I think) you're looking for. Some of the sites will have brick and mortar stores somewhere and you can kind of go from there.