Here’s the map. France was part of it, but it spanned 4+ countries’ borders and territories.
https://en.wikipedia.org/wiki/Battle_of_the_Bulge#/media/File:Wacht_am_Rhein_map_(Opaque).svg
None of the actual fighting in the Battle of the Bulge took place in France, but there was heavy fighting nearby in the Colmar Pocket, located just west of the Rhine, and it continued even after the Battle of the Bulge was over.