That depends on several factors.
The US Supreme Court has original, but not exclusive, jurisdiction over cases involving foreign governments and their officials and dignitaries; however, most such cases are heard in US District Courts first. Cases involving regular citizens of foreign countries would most likely first be heard in US District Court, the US Court of Claims, or other appropriate court with special subject-matter jurisdiction.
The US Supreme Court may review writs of habeas corpus of foreign citizens being held in military prisons, or Congress may insist on granting jurisdiction to a special tribunal overseen by a District Court.
Your question doesn't offer sufficient detail for an accurate answer.
The Supreme Court justices hear cases in the courtroom of the Supreme Court Building in Washington, DC.
The Supreme Court hears three kinds of cases. Cases appealed from lower federal courts account for two-thirds of the cases they hear. They also hear cases appealed from state's supreme courts, and sometimes hear cases that have not been previously heard by a lower court, such as between one state's government and another.
The Supreme Court hears cases which are on final appeal. The Supreme Court also hears cases relating to national elections.
Supreme Court of the United States
There are two special cases that start trial in the United States Supreme Court. Cases involving foreign officials and cases in which a state is a party originate in the Supreme Court.
Yes. Texas has two "supreme courts," although only one carries that name. The Supreme Court of Texas is the highest appellate court for civil and juvenile cases, and the Texas Court of Criminal Appeals is the highest appellate court for criminal cases.
The US Supreme Court serves as the highest appellate court for cases appealed under its federal question jurisdiction.
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In most cases a Supreme Court decision is permanent. The current Supreme Court can change the decision of a previous Supreme Court.
Cases that appealed from the court of appeal.
The Supreme Court alone decides which cases, and how many they will hear.
The Supreme Court alone decides which cases, and how many they will hear.