Nope. There are many different types of Schengen visa [1] and it generally does not allow you to work. For this you need a national visa from a specific member state [2]. So, no, if you get a work permit in France, you are not free to live and work in Switzerland. In fact, EU citizens generally need a residency and work permit if they wish to live and work there.
From the page: "For employment lasting longer than three months, a residence permit is required."
I named their permit incorrectly: should be "residence permit" instead of "residency and work permit". The point remains that EU citizens generally need an official permit to work in Switzerland.
[1] http://www.schengenvisainfo.com/schengen-visa-types/ [2] http://www.schengenvisainfo.com/frequently-asked-questions-s...