Paris
"This decision can be taken locally, depending on the situation of the epidemic in each region," the BBC quoted Veran as saying in a tweet.
The French government has already made face masks compulsory in all enclosed public spaces, including public transport and shops.
President Emmanuel Macron declared a "first victory" over the virus in June and has ended the national state of emergency, but local outbreaks remain.
France reported 1,377 new coronavirus infections on Thursday.
France, one of Europe's hardest-hit countries, has so far recorded 222,469 cases and 30,241 deaths since the start of the pandemic.
Visit news.dtnext.in to explore our interactive epaper!
Download the DT Next app for more exciting features!
Click here for iOS
Click here for Android