"If this gets worse and we do not have our security assured, then our French team will stay here", Laura Flessel said, per RTL radio. "This is done by any country that hosts the Olympic Games", he said, adding "we don't have any other ideas on this".
The Games are scheduled to take place from February 9-25 in Pyeongchang, less than 100 kilometres away from the border with North Korea.
"Safety and security is one of the most important aspects of Games preparations", PyeongChang's organizing committee said in a statement.
"So in two years' term, the Olympic Games will be held Korea, Japan and China and I believe that this can provide a good opportunity to build peace and cooperation within the Northeast Asian region".
But with North Korea's repeated provocations resulting in heightened tensions on the Korean Peninsula, the Pyeongchang Games are poised to hold special meaning as an occasion for reducing military tensions.
International Olympic Committee president Thomas Bach sought personally to downplay security fears 10 days ago, and a day earlier a confident International Olympic Committee spokesman insisted: "There is no plan B".More news: Zuckerberg says Facebook can't catch everything
In total, 259 sets have been made for next year's Winter Games.
Trump also previously threatened to "totally destroy" North Korea if it continues to provoke the United States and its allied nations, which include South Korea.
South Korean President Moon Jae-in (L) and International Olympic Committee President Thomas Bach pose with "Soohorang" and 'Bandabi, ' mascots for the 2018 PyeongChang Winter Olympics and Winter Paralympics, at the United Nations headquarters in New York City on September 19, 2017. And under Wednesday's event's theme of, "Celebrating the Olympic Winter Games for Peace", the South Korean leader expressed his hope that Pyeongchang 2018 will be the most peaceful Winter Olympics ever.
"Each host city presents a unique challenge from a security perspective, and as is always the case, we are working with the organisers, the U.S. State Department and the relevant law enforcement agencies to ensure that our athletes, and our entire delegation, are safe", said USOC spokesman Patrick Sandusky.
It has representatives in South Korea and has done site visits but noted that the Canadian government recommends that its citizens should take normal security precautions.
Some 191,000 tickets were sold overseas, 59.7 per cent of the target sales of 320,000 tickets.