what is the name of union french-speaking countries?

There is no official organization or union specifically for French-speaking countries. However, there are several organizations that promote cooperation and cultural exchange between French-speaking nations:

* La Francophonie: This is the largest international organization of French-speaking countries. It is not a political union, but rather a cultural and linguistic organization that fosters cooperation and solidarity between its members. La Francophonie has 88 member states and governments, and 27 observer states.

* The Organisation internationale de la Francophonie (OIF): This is the intergovernmental organization that manages La Francophonie. It focuses on promoting French language and culture, and supporting its members in areas like education, science, and development.

* The International Organization of the Francophonie (OIF): This is the political arm of La Francophonie. It focuses on international relations and cooperation between French-speaking countries, including diplomacy and conflict resolution.

So, while there is no single "union" of French-speaking countries, La Francophonie is the umbrella organization that encompasses most of them and acts as a platform for cooperation and collaboration.