Debit cards, that's another story. Most people pay with their debit cards instead of cash. It's convenient, even more so since the introduction of contactless bank cards.
Except if you live in some rural area...
That said there are definitely credit cards, usually linked to big retailers (Auchan, etc.), but are they that popular?
Average credit card spending per French annually is $300 -- so quite insignificant compared to Americans (which would be almost half their annual salary if not more).
And it still does. I still don't know what would have been the point to make a loan to buy a bag of potatoes, but well... Cultural differences.
I thought chip-and-PIN was the standard over there?