Generally, the copyright law of the country you are in applies within that country. This is true even if the work you are using originated across international borders. Of course, this general rule has a number of exceptions, and foreign laws may impact how a U.S. court will treat a copyright question regarding a foreign work (in this case, a foreign work is a non-U.S. work).
In certain circumstances, U.S. Copyright laws give greater protection to works prepared by foreign authors than it does to the works of its own authors. As an illustrative example, in the U.S. a work must be registered with the U.S. Copyright Office before a lawsuit can be filed. This requirement does not extend to foreign works. Similarly, the U.S. generally does not extend copyright protection to the creative works of the U.S. Federal government, but it contemplates the possibility that the works of foreign governments may be subject to copyright protection.