I’m surprised local LE in Paris doesn’t have a paramilitary SWAT team. Seems to me this sorta thing happens in the US and you’ve got not just SWAT teams but pissed off citizens taking up arms to protect their property.
The US is largely an anomaly in the way our LE is organized, with municipal, county, and state authorities. Most other nations have a national police force (certainly, they are "stationed" and work in defined areas) and are generally employees of the national government.
Most larger French towns and cities do have municipal police, but their purview is generally limited to petty crime and traffic enforcement. Any "SWAT" type response would come from the national government.
Every mmajor city used to have a CRS detachment stationed there, don’t know if this is still true.
Remember spring 1968 and the Paris riots ? CRS fixed that rather quickly once they were turned loose.