The government has forced Amazon to stop offering free delivery in an attempt to protect book stores. It has fined Google for violating local privacy laws and is leading the charge to force online companies to pay more tax by stopping them channelling profits through low-tax jurisdictions.
"It must be interesting for [Hollande] to have lunch with Eric Schmidt," said French-born venture capitalist Jeff Clavier.
Despite those challenges, the prognosis for France's technology scene is by no means all negative.
Liam Boogar, a Silicon Valley native who three years ago set up Rude Baguette, a start-up blog based in Paris, says French tech entrepreneurs have been going to California since the 1980s. "They have probably done more good than harm to France. French engineers have a great reputation in the Valley, which France has underleveraged," he says.
Aware of this, the government is setting up a series of overseas "French tech hubs" in an attempt to capitalise on the tech diaspora, including attracting investment back into France.
(Read more: French president coming alone to White House this week)
A high level of skills and growing incentives, including one of Europe's most generous research tax write-off regimes, has seen companies such as Microsoft and Google setup R&D centres in France.
California start-up founder Michael Amar says he does much of his company's own engineering and development in France, as do other growing companies such as Talend, a big data analysis group.
Talend's co-founder Bertrand Diard recently told French newspaper LeMonde that engineers in France cost a third of their counterparts in Silicon Valley, where fierce competition for talent has driven up salaries. "France is a tax haven for research and development," he said. "More than that, [the engineers] are very good."
Many French expats now in the US do also eventually go back home, says Mr Clavier, who sees people returning after five to eight years abroad. In thelong run, he says, that opens France to new ideas and will help its companies connect better with foreign markets.
"All this experience of Silicon Valley exposure, New York exposure,London exposure, other emerging markets is good," he said. "A massive increase in young people with diplomas in their pockets leaving to go wherever the winds take them . . . is a very formative experience, and it doesn't mean that they've left forever."
Follow us on Twitter: @CNBCWorld