The move marks a new stage in the investigation which had previously been run by anti-terror prosecutors with a view to possibly bringing charges of causing "deliberate harm to a person protected by international law" and a "deliberate attack against a civilian who was not taking part in hostilities".
French prosecutors routinely open cases into the violent deaths of French citizens overseas.
Zakrzewski, 55, died in March 2022, only weeks after Russia attacked Ukraine, in Horenka, northeast of the capital Kyiv.
Ukrainian producer Oleksandra Kuvshynova also died and Fox correspondent Benjamin Hall was wounded when their vehicle was struck by incoming fire, according to Fox News.
The French investigation aims to identify who fired at the vehicle, and under what exact circumstances.
Zakrzewski was an experienced war zone cameraman who had previously covered conflicts for the US network in Iraq, Afghanistan and Syria.
France has opened 10 official probes into suspected war crimes against French nationals since Russia's invasion on February 24th, 2022.
Three of them concern journalists.
Frederic Leclerc-Imhoff, working for French broadcaster BFMTV, died in May 2022 under artillery fire as he covered a humanitarian mission in eastern Ukraine.
In May 2023, AFP's video coordinator in Ukraine, Arman Soldin, was killed during a Russian attack near the town of Bakhmut which Russia seized after months of brutal battles.
The Zakrzewski case is the first to be taken over by investigating magistrates.
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