This was reported by the Star TV channel.
A worker died in the collapse of the dome of the Profitis Ilias church in Arkalohori.
Two people with fractures were taken to hospitals.
Seven victims were brought to local clinics for first aid.
The Russian Embassy in Greece did not receive information about Russian citizens affected by the earthquake on the island of Crete, the press service of the diplomatic mission told TASS.
Earlier, seismologists recorded an earthquake with a magnitude of 4.4 in Turkey.