If you hold a French Driving License, there are some exemptions as to when you are required to provide a copy of your driving licence for your employer.
There is a French law which prohibits sharing of driving licence data, however, there is an exemption for employers who have a requirement to demonstrate that people driving on business have a legal right to do so.
1. Règlement général sur la protection des données (RGPD) (GDPR in UK)
The RGPD is a European regulation of 27 April 2016. It establishes a new legal framework for the protection of the personal data of European citizens in order to respond to digital developments. The RGPD takes up many of the main principles already listed in European law and in the "Informatique et libertés" law of 6 January 1978, known as the CNIL law. Personal data must be "processed lawfully, fairly and transparently" and "collected for specified, explicit and legitimate purposes". It must be "adequate, relevant and limited" to the purposes of the processing, be "accurate and, where necessary, kept up to date". It must be kept for a limited period of time and under conditions of "appropriate security".
2. Code de la route
Highway Code, Legislative Part, Book 2: The driver, Title 2: Driving licences, Chapter 1: Verification of suitability, issue and categories - art. L. 221-1 amended by LAW No. 2015-177 of 16 February 2015 on the modernisation and simplification of law and procedures in the fields of justice and home affairs - art. 16: Every person who drives a vehicle on the public road network shall hold a driving licence corresponding to the type of vehicle he/she drives. The driver of a vehicle and his or her passengers shall wear seat belts on the public road network.
Highway Code, Legislative part, Book 2: The driver, Title 2: Driving licence, Chapter 3: Points-based driving licence – art. L223-9: Information relating to the number of points held by the holder of a driving licence may only be collected by the administrative and judicial authorities that need to know, to the exclusion of employers, insurers and any other natural or legal persons. Any infringement of the provisions of the previous paragraph is punishable by the penalties provided for in Article 226-21 of the Criminal Code. Disclosure of the same information to unauthorised third parties shall be punishable by the penalties provided for in Article 226-22 of the Criminal Code.