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There is no French Alps airport. There are airports that match valleys.
Geneva for Chamonix, Megève, La Clusaz, Le Grand-Bornand, and often the Tarentaise. Lyon Saint-Exupéry for the ice halls and as a year-round start toward Chambéry. Chambéry when the winter flights run, for Moûtiers and the Les 3 Vallées road. Grenoble for Les Deux Alpes and the Oisans. Turin for Montgenèvre and Briançon. Amsterdam, then a train, for Thialf.
The getting there page is the one to use. It also corrects the old habit of drawing the journey from Lake Geneva to Nice. Nice is not a 2030 venue, and these airports are not high-altitude strips. An article that called them that has been retired.