The strikes came just hours after Ukraine's president announced that the country's military had retaken three more villages in one of the regions illegally annexed by Russia.
Governor Oleksandr Starukh wrote on his Telegram channel that many people were rescued from the multi-story buildings, including a 3-year-old girl who was taken to a hospital for treatment. He initially reported two people were killed but later said that one woman initially thought to have died was saved by doctors.
Photos provided by emergency services showed rescuers scrambling through rubble in the wreckage of a devastated building.
Regional authorities reported another rocket attack later in the morning, but there were no immediate details of casualties or what was struck.
Zaporizhzhia is one of four regions that Russian President Vladimir Putin annexed in violation of international laws on Wednesday, and is home to a nuclear plant that is under Russian occupation. The city of the same name remains under Ukrainian control.
The head of the UN’s nuclear watchdog is expected to visit Kyiv this week to discuss the situation at the Zaporizhzhia facility after Putin signed a decree declaring that Russia was taking over the six-reactor plant. Ukraine’s Foreign Ministry called it a criminal act and said it considered Putin’s decree “null and void.” The state nuclear operator, Energoatom, said it would continue to operate the plant.
Rafael Grossi, the director-general of the International Atomic Energy Agency, plans to talk with Ukrainian officials about the Russian move. He will also discuss efforts to set up a secure protection zone around the facility, which has been damaged in the fighting and seen staff including its director abducted by Russian troops.
Grossi will travel to Moscow for talks with Russian officials after a stop in Kyiv.