Ashkenazi spoke with his Cypriot counterpart and thanked him, telling him to "prepare the beaches, hotels and restaurants for Israelis who are waiting to return to Cyprus."
Israelis who have been vaccinated will be allowed to enter the country without showing a negative coronavirus test and will not need to enter quarantine.
Greece will open up to 10,000 vaccinated Israelis every week, Israeli media reported on Monday.
The tourists who enter Greece will likewise not have to undergo COVID-19 testing or quarantine upon entry.