Zurich is a region in Switzerland.
Zurich hauptbahnhof (main train station) is an international train station with trains arriving from France, Italy, Austria, Germany, and beyond.
Zurich international airport lies to the north of the city of Zurich. Airlines fly out of ZRH to destinations all over the world.
The zürcher are very proud of their tram car, they are excellent for getting around in the city. See ZVV which includes the S-bahn which are convenient for getting around in the region (kanton Zürich). See also SBB for the national trains.