I agree with Deeflint. France straddles both Northern and Southern Europe, as well as Atlantic/Western and Central Europe, so they're really a mix of a variety of different European/Mediterranean populations. Even before the Romans came, the area now known as France was inhabited by a mixture of Celtic Gauls (the main group), Belgae in the northeast (said to be a mix of Gauls and Germanic peoples), Iberians/Basques in the southwest, and even the Ancient Greeks established a few colonies on the Mediterranean coast (i.e. Marseille).

Add to all that early mix some Roman settlement, substantial Frankish and other Germanic settlement, Vikings in Normandy, British Celts in Brittany, and probably a bit of Moorish here and there via Moorish Spain (which could account for Middle Eastern/West Asian DNA), and you end up with potentially quite a mixture of DNA and bloodlines. West Asian admixture could've also been brought by Romans/Italians or Greeks (both of whom tend to have substantial Caucasus or Middle Eastern admixture - likely very ancient as in Neolithic-era settlement by West Asian farmers coming from the eastern Mediterranean).

The result is that the French vary from typically Scandinavian-looking to typically Sicilian/Greek-looking, with everything in between. The normal range in French looks seems to be most like English Brits, southern Germans/Swiss, and northern/central Italians/Spaniards in my experience, depending on the region of France.