Needing a win to stand any chance of qualifying from Group B at the OSTCHEM U20 European Championship Women in Sopron, Les Bleues turned in a commanding performance to see off Israel 64-43.
It means their hopes of advancing come down to the result of Sunday night's match-up between hosts Hungary and Ukraine.
If the Ukrainians prevail then there will be a three-way tie.
Goal difference in the games between those sides with 2-1 records will then decide who takes the first two places.
If Hungary win, both them and France will go through with superior records.
France seemed to sense the urgency against an Israeli side who exit the tournament having lost all three group contests.
Francis Denis' side led 21-12 after the first quarter and stretched their advantage to 35-24 at the interval.
The momentum remained with the French the rest of the way.
Julie Barennes was their inspiration, top scoring with 18 points and also pulling down 12 rebounds.
Israel simply never got going despite a team-high 10 points from Chen Nusel.
The situation in Group B is replicated in Group C with the final two places still not clear-cut.
Spain and Russia could advance even though the Russians succumbed to the Spanish 66-63 this afternoon.
Both nations have 2-1 records and could be joined by Turkey if they beat Poland later.
Russia's Elena Danilochkina was arguably the best player on the court with 21 points and 11 rebounds but she lacked support - only Elena Gogiya (20 points) joined her in reaching double figures.
Blanca Marcos led Spain with 19 points and was backed up by Silvia Dominguez (15) and Maria Pina (13).