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Parise, Parize, Parisy, Parizy, Parisel, Parisel, Pariset, Parizet, Parisot, Parizot.
That’s only for Paris. French surnames from localities are many. Just search Dictionnaire étymologique des noms de famille by Marie-Thérèse Morlet
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I went home and looked at the book I have on the subject (Les noms de familles et leurs secrets, by Jean-Louis Beaucarnot), and he says this is not the case. He says these names (Parisot and variants) are all derived from and are deformations of the given name Patrice. His argument is that during the period when surnames were being adopted, many people came to Paris, but few left. So “Parisian” as a distinguisher left something to be desired, since in Paris everyone was a Parisian, and few from Paris left for another city, still less for the countryside.
This argument may seem implausible, but there’s a very definite tendency for French surnames to be derived from or identical to given or saints’ names. Beaucarnot gives a list of the 100 most common surnames in France, and in the top 10, there’s only one name (Petit) that isn’t also a given name. You’ll see names like Martin, Thomas, Bernard, etc. I’m going from memory here, but it looks like the four big categories are: 1) given names, as above; 2) descriptors (Petit, Larousse, Brunet, Leblanc); 3) occupations (Fournier, Lefebvre); and names of foreign derivation (Garcia, Lopez, Meyer).
The OP is wrong in an absolute sense, in that adjectival references to place names do exist as French surnames – but it has to be said that these names are not particularly common. In the top 100, I saw (on a somewhat cursory examination) only one: Picard, and it was in the 80-something place. There may be one or two other non-adjectival place references (for instance, Fontaine), but again, as a category, it’s a small one.