The cruise line has seen two of its ships report several confirmed cases of the COVID-19 virus since February.
"I'd rather have them stay on," Trump said Friday of people onboard a cruise ship where coronavirus was detected moored off the coast of San Francisco, "but I fully understand if they'd rather take them off."
Several major cruise lines—Royal Caribbean, Carnival, Celebrity Cruises and Crystal Cruises—have announced cancellations or changes to their itineraries for cruises in March and April.
More than half of those reported infected outside China were aboard the Diamond Princess cruise ship, which has been quarantined in Japan for over two weeks.
Frank King, a comedian who was working aboard the Holland America cruise ship that was quarantined after a former passenger tested positive for coronavirus, says that he was fired by the cruise line after sneaking out of quarantine and returning home to Oregon.
Authorities are scrambling to track the other passengers who were cleared for travel and allowed to disembark the MS Westerdam cruise ship after showing no signs of illness.
At least 1,500 people have died of the coronavirus since it first emerged late last year.
A Holland America Line cruise ship has been unable to dock for almost two weeks, despite having no reported cases of the virus.
The new form of the coronavirus has killed over 910 people since it emerged in China late last year.
The new strain of coronavirus has killed over 550 people since late last year.
The ship will remain in quarantine for at least another two weeks, as required by the Japanese government.
Thousands of passengers and crew members on board the Diamond Princess cruise ship have been quarantined off the coast of Yokohama, near Tokyo, Japan.
Pua Morrison said she and seven family members paid $4,000 each for a cruise with Norwegian Cruise Line that departs in the next couple of days and stops in Hong Kong.
A Carnival Cruise Line spokesperson has confirmed the victim was an 81-year-old woman, with the cause of death currently believed to be natural causes.
Around 6,000 passengers aboard the Costa Smeralda have been locked down in the Italian port of Civitavecchia.
The passenger fell from the deck of the Oasis of the Seas ship while it was in San Juan Bay in Puerto Rico.
We realized this was a time sensitive case, and that we needed to help this child get to a higher level of medical care as soon as possible," Petty Officer 2nd Class Carlos A. Garay explained.
Rebecca Kaplan said she contacted a cruise ship company about docking a vessel at the Port of Oakland to house as many as 1,000 homeless people.
Chloe Wiegand fell to her death from aboard the Royal Caribbean's Freedom of the Seas in July while it was docked in Puerto Rico.
Passengers from Royal Caribbean's Ovation of the Seas had been visiting the island the volcano erupted on New Zealand's Whakaari (White Island).
An initial investigation found the victim was believed to have drowned while bathing in the pool, police said.
The pair said they were asked to leave the Mein Schiff 5 after getting intimate on the first day of a two-week Caribbean cruise with travel firm TUI Cruises.
Salvatore Anello, 50, was arrested by Puerto Rico police and charged with negligent homicide over the tragic death of Chloe Wiegand on the Royal Caribbean's Freedom of the Seas.
The U.S. Coast Guard is looking for the passenger who was reported overboard from the Carnival Dream around 47 miles southeast of Galveston, Texas.
The child, who is German, fell ill and died on the MSC Divina as it made its way from Palermo, Italy, to Calgliari, the capital of Sardinia, Italy.
"The ship was alerted by the guest's cabin mate, who witnessed the [person] voluntarily jump from the balcony of their cabin," Costa Cruises said. "The crew immediately launched a search and rescue mission."
The authorities have urged other potential victims to come forward.
The 23-year-old man had to be medevaced from the cruise ship Carnival Valor in the Gulf of Mexico, the U.S. Coast Guard said.