New York (CNN Business) Some businesses in an American coronavirus containment zone are planning to shut their locations for at least two weeks to stop the spread of coronavirus.

That's a tough pill to swallow for many small businesses, which notoriously operate on razor-thin margins. But they may have no choice.

"Business has been so quiet," said Sal Imburgia of Sal's II Pizzeria in New Rochelle, New York. "If [this continues], I am going to close because it makes no sense to stay open and spend on electricity, gas and have no revenue. Sales have been down about 40%" this week, he added.

New Rochelle has 108 known cases of coronavirus, making it probably the largest cluster of the outbreak in the country. On Tuesday New York Governor Andrew Cuomo announced plans to deploy the National Guard and create a 1-mile containment area for two weeks in the Westchester County town.

Imburgia, whose restaurant is located near a synagogue believed to be the epicenter of the outbreak in the New York City suburb, said he's been doing a lot of the work himself in the shop, as other employees have gone home to be with their families: "I feel bad because some of them have to feed their families and want to work to get paid."

Read More