The US
does have an "imprisoning innocent people" problem, as witnesses by this story and by the Innocence Project.
The problem is the horrifyingly large number of people who are imprisoned for years, some times decades, even though they are innocent.
Do you not find that a problem? Innocent people being imprisoned happen in any country of course, but the problem is much larger in the US than in other first-world countries, both in absolute number and relative to population size.
France does not have similar numbers of innocent people in prison, even when adjusted for the countries size. Unless you will argue that the French police and judicial system is more than six times worse.
This was all in response to the comment questioning why we don't hear as many stories about innocent prisoners in France.