Zurich is an unincorporated community in Blaine County, Montana, United States. Located along the Hi-Line of Montana, between Harlem and Chinook, along U.S. Route 2. It has a post office with the ZIP code of 59547, and a public school serving grades PK through 8. There is also a bar; the store and bank are closed and abandoned, as are two grain …Zurich is an unincorporated community in Blaine County, Montana, United States. Located along the Hi-Line of Montana, between Harlem and Chinook, along U.S. Route 2. It has a post office with the ZIP code of 59547, and a public school serving grades PK through 8. There is also a bar; the store and bank are closed and abandoned, as are two grain elevators and other business buildings. Various online sources give the population as 22-23 residents.