Many times answers to questions about ccTLDs can be found at the homepage of the central registry for the ccTLD.
In this case I simply tried to directly navigate to internic.fr and nic.fr. I succeeded on the second attempt: NIC.fr.
I somewhat recall that most ccTLDs host their registry site at www.NIC.ccTLD (Substitute the specific country code TLD for ccTLD)
The quick answer is that, for an individual, you have to have a postal address in France, so you would not qualify as a registrant.
I understand the situation as follows:
.FR Restrictions
Eligibility:
Individuals or corporate entities in one of the following three categories can register a .fr first level domain name:
Corporate entities
Corporate entities whose headquarters are located in France, or have premises in France, which can be identified in the following electronic databases:
Commercial court registries
National corporate and trade register (INPI)
National institute of statistics and economic studies (INSEE)
REFASSO for associations
State institutions and departments, regional authorities and their establishments
For the purpose of submitting a .FR domain name application, a SIREN/SIRET number must be supplied during the domain name application process that is associated with the French Corporate entity.
Brand holders
Individuals or corporate entities which hold a brand registered with the national institute of industrial property or which hold a registered community trademark or international brand targeted specifically at the French market and which can be identified from the ICIMARQUES (INPI) database.
Individuals
Adult individuals with a fixed address in France.
However, it is possible to register a .fr name using certain registrars as the local contact.
Hope that helps.