Russia launched four cruise missiles on the city, the South command of Ukraine's Armed Forces said.
The attacks were the latest in a spate of overnight strikes that Russia has intensified as Kyiv sets its sights on a major counter-offensive.
The mayor of Odessa, made the remark at a Monday meeting of the local Board of Aldermen, amid a discussion of changes to trash pickup in the town.
Ukraine's military said the barrage of 30 missiles launched by Russia overnight included cruise missiles fired from the sea, air and land.
An explosion was also heard following a missile attack that hit the Black Sea city of Odesa overnight, a local Ukrainian official said.
Whether in Odesa or Mykolaiv, many Jews have been left behind in Ukraine amid the ongoing Russian invasion, including the elderly and Holocaust survivors.
UKRAINIAN AFFAIRS: Odesa’s resilient Jewish community has withstood the onlsaught of Russian troops and is persevering amid Moscow’s nearly year-old invasion of Ukraine.