They may or may not, depending on their domestic status with regards to the country of operation. Foreign corporations, for- or non-profit can operate in the U

They may or may not, depending on their domestic status with regards to the country of operation. Foreign corporations, for- or non-profit can operate in the USA. But they need to register in their state of operation in the U.S. as a foreign corporation. And unless they get a determination of tax-exempt status from the IRS, they would be subject to U.S. corporate income tax with respect to their U.S. operations. Even U.S. corporations have to register as foreign corporations to operate outside of their state of incorporation.