Very unlikely -- when flights are cancelled for non-particular strikes, it's typically internal French ones. Sure, if the air traffic controllers go on strike, anything's possible -- but they do try and keep the international flights landing and taking off, as much as possible anyway. Some less frequented international routes might suffer more in that circumstance.
But the chances would also depend on which city in the US you're flying to France from -- if it's somewhere like New York or Boston with several flights a day, there's a chance that one or some of those flights could be cancelled. OTOH if you're flying from Miami or LA, chances of a cancellation are much lower -- including because long-distance flights are much less likely to be cancelled.
Another thing to consider -- in recent strikes, some flights were cancelled at Paris Orly ; but none at Paris Charles de Gaulle.
So overall, I'd say very unlikely, but possible for the shorter flights from New England on the most frequented routes