Zidane speaks with a medium Provençal accent for being born and raised in Marseilles. Certainly a different accent than his parents who were speaking Kabyle at home.

The linked document states he speaks Berber, Algerian/Arabic but while he understands these languages, he doesn’t seem to be fluent at all with them:

https://www.youtube.com/watch?v=YWcJQiIlFCU

On the other hand, the page misses to state Zidane is fluent in Spanish.

https://www.youtube.com/watch?v=fkno4oGyTt4

Zidane IS French. His accent is a bit Southern-inflected from his growing up in Marseille, a common regional variation.

But 2nd generation immigrants generally never have foreign accents, no matter how strong their parents’ accents, pretty much the world over.