Updated : 26/04/2017
Under French law, EU citizens and their family members are not required to report their presence on arrival in France. This means they don't have to make a statement of any kind to the authorities.
All EU citizens with a valid passport or identity document are entitled to enter France and spend a period of time there - regardless of the reason for the visit, e.g.
They are, however, expected to have sufficient resources to cover their needs (and those of any accompanying family members) during their stay.