Daryl and Ripp, thank you for your input.

Nitrox, it is easy for foreigners to hunt in France; the requirements are:
- To present a valid hunting license from one's country in order to be issued a temporary hunting license in France.
- To have a personal liability insurance covering potential hunting related damage to third parties; this PLI can either be purchased in a foreign country to the condition that it also covers France (a certified translation in French of the insurance policy might be required) or be purchased in France. I am sure that Ripp, a specialised international insurance broker, would be happy to sell you such an insurance policy!
It is also easy to obtain a temporary import licence for bringing in one's rifle(s). With regards to hunting areas there are two options, either hunting with the person that has invited you, or hunting in an area managed by the French Forestry Commission (https://www.chasse.onf.fr/domaines/), which will provide you a guide.
The main difficulty should be to find points of contact that would be fluent English speakers in the French administration for preparing that trip from remote, unless of course you decide to take on seriously on French (more fluency than for ordering a beer at a bar would be required

)!
For people residing in EU countries it is even easier as we can request International Weapons Passports from our national administrations, that allow to travel to different EU countries without having to apply for temporary import licenses.

Louis