The 23-year-old, who has been linked with a move to AC Milan, is regarded as one of the most talented defenders in Europe.
"Being with the France team, it teaches me a lot of things and gives me even more desire to work hard at Montpellier. I know that I shouldn't rely only on my skill. I want to improve as much as possible," he told reporters.
Yanga-Mbiwa has two international caps to his name.