They didn't mention it was AirFrance in their origninal comment, and when they said "in France", I assumed an intra-France flight. Many regional & LCC carriers in Europe operate Airbus planes exclusively.
If SFO is supposed to mean San Francisco and CDG Paris then certainly not. The max range of a 737-800 is about 50% of the distance.
It’s a 777
You're correct. Here's the plane we took: 777-300ER