Schools and public transport in Greece may also be affected due to union participation in the 24-hour general strike.
Piraeus Port handles approximately 20 million passengers a year making it one of the busiest ports in Europe.
The ferry, called the Agia Theodora, was travelling between Corfu and Igoumenitsa when it ran aground in shallow waters.
PNO industrial action on Thursday and Friday is expected to cancel most ferry boat routes in Greece
Last year, the Daleela Cyprus - Greece ferry service transported over 7,400 passengers and more than 2,400 vehicles from May to September.
Two passengers injured while disembarking from vessel at the island's port
According to reports, one passenger's remark to others about noise led to a brawl in the vessel's lounge area
Ferry fares in Greece are among the costliest in Europe, increasing by as much as 60% compared to ticket prices in 2019.