what is the name of the french overseas department
Overseas France Almost all inhabited French administrative divisions outside Europe are classified as either overseas regions or overseas collectivites; these statuses are very different from one another from a legal and administrative standpoint. Overseas regions have exactly the same status as mainland France's regions. The French constitution provides that, in general, French laws and regulations (France's civil code, penal code, administrative law, social laws, tax laws, etc.) apply to French overseas regions the same as in mainland France, but can be adapted as needed to suit the region's particular needs. In the French overseas regions, laws cannot be adapted whereas the overseas collectivities are empowered to make their own laws, except in certain areas (such as defense, international relations, trade and currency, and judicial and administrative law). The overseas collectivities are governed by local elected assemblies and by the French Parliament and French government, with a cabinet member, the Minister of Overseas France, in charge of issues related to the overseas territories. (New Caledonia is neither an overseas region nor an overseas collectivity; it has a sui generis status, in keeping with the Nouméa Accord.)
French passport French citizens can live and work in any country within the EU as a result of the right of free movement and residence granted in Article 21 of the EU Treaty.[4]