The article in the OP explains this isn't a law and states which jobs will be impacted:
"In an effort to improve French citizens’ work-life balance, employers’ federations and unions in the European nation have signed a legally-binding labor agreement requiring workers to ignore emails from bosses if they’re received outside of their usual working hours.
The new deal covers many employees in the technology and consultancy sectors, with France-based workers at Facebook and Google among them."

Now that everyone is over the flashy titles of the news reports and know the details, could something like this ever happen and be effective in the U.S.?