Anglican churches in France follow Diocesan regulations, but also need to comply with French law.
French regulations
Each chaplaincy is responsible for making sure that it is not contravening French law.
The Association 1901 status is a non-profit organisation. A 1905 Association is a religious organisation, but you have to have the 1901 status first.
The association Actes6 provides a lot of useful documentation for churches in France