I have heard this from Anglophone media the last decade and a half. Yes some Jews migrate from France to Israel, but honestly until we see a significant increase, this discussion is just the usual French bashing.
But even if Jews do emigrate from France, what are people suggestion to a solution; place all French Muslims in concentrations camps, ban Jewish emigration, nuke Israel or the rest of the Middle East or what (To the more more literal minded out there don't answer)? If Jews doesn't want to live in France, there's little which can done about it, and it's sad to see a group which give the state a surplus leave.
There has been a significant increase:
"The Jewish Agency, which encourages immigration to Israel, says the number of French Jews leaving for Israel each year had been steady at about 2,000 until 2013, when it hit 3,400. Last year, it jumped to more than 7,000 — making France the leading contributor of immigrants to Israel and marking the first time that more than 1 percent of a Western nation’s Jewish population has left for Israel in a single year, according to Avi Mayer, a spokesman for the Jewish Agency.
Since the Hyper Cacher attack, calls to the Jewish Agency’s Paris office have more than tripled, Mayer said, and the agency is predicting that 15,000 French Jews will move to Israel in 2015."