Answer by taking a quote from the following article:

The French (French: Francais) are an ethnic group and nation who are identified with the country of France. This connection may be legal, historical, or cultural. Historically the French people's heritage is diverse, including populations of Gauls, Ligures, Latins, Franks, Iberians, Alamans and Norsemen. France has long been a patchwork of local customs and regional differences, and while most French people still speak the French language as their mother tongue, languages like Norman, Occitan, Catalan, Auvergnat, Corsican, Basque, French Flemish, Lorraine Franconian, Alsatian and Breton remain spoken in their respective regions.

In the roughly 900 years after the Norman invasions France had a fairly settled population. Unlike elsewhere in Europe, France experienced relatively low levels of emigration to the Americas, with the exception of the Huguenots, due to a lower birthrate than in the rest of Europe. However, significant emigration of mainly Roman Catholic French populations led to the settlement of the Province of Acadia, Canada (New France) and Louisiana, all (at the time) French possessions, as well as colonies in the West Indies, Mascarene islands and Africa. On 30 December 1687 a community of French Huguenots settled in South Africa. Most of these originally settled in the Cape Colony, but have since been quickly absorbed into the Afrikaner population. After Champlain's founding of Quebec City in 1608, it became the capital of New France. Encouraging settlement was difficult, and while some immigration did occur, by 1763 New France only had a population of some 65,000. From 1713 to 1787, 30,000 colonists immigrated from France to the Saint-Domingue. In 1805, when the French were forced out of Saint-Domingue (Haiti), 35,000 French settlers were given lands in Cuba. By the beginning of the 17th century, some 20% of the total male population of Catalonia was made up of French immigrants. In the 18th century and early 19th century, a small migration of French emigrated by official invitation of the Habsburgs to the Austro-Hungarian Empire, now the nations of Austria, Czech Republic, Hungary, Slovakia, Serbia and Romania. Some of them, coming from French-speaking communes in Lorraine or being French Swiss Walsers from the Valais canton in Switzerland, maintained for some generations the French language and a specific ethnic identity, later labelled as Banat (French: Francais du Banat). By 1788 there were 8 villages populated by French colonists.

How did people feel about that?
Encouraging settlement was difficult, and while some immigration did occur, by 1763 New France only had a population of some 65,000.