Zürich is in Switzerland
In the northeast part of Switzerland, in Europe.
ride train to Zurich main station. Catch tram to Bellevue or Bürkliplatz stop, or S-train to Stadelhofen and walk.
If you consider the Banhofstrasse to be the 'center' of Zurich, then it is about 11.9 km by car from the airport to downtown, according to Google maps
Yes Zurich is in the Netherlands (it's a little town in the province of Friesland). However Zürich is in Switzerland.