If Argentina owns a factory in the US and its economy loses stability the business may have to close or layoff some of its workers. What is this influence called?

The influence described is known as "economic exposure" or "operational exposure." This refers to the risk that a company's profitability could be affected by fluctuations in the economic conditions of the country where it operates, which, in this case, is the United States. Factors such as currency fluctuations, economic instability, or changes in market demand can impact the operations and financial health of the foreign-owned business.