Francophone is a French word that means French-speaking.
Francophone countries include France, parts of Belgium, Canada, and Switzerland, and several countries in Africa that are former French colonies. Collectively these countries are known as the Francophonie.
A related term is "anglophone", which means English-speaking. In Québec, the term "allophone" has also been coined, and means "has a native language other than English or French". All three words have crossed over into Canadian English, and are politically charged to some extent.