Zátyní was formerly part of the German Empire. In the German Empire, the place was called Sattai.
The place is now called Zátyní and belongs to Czech Republic.
| Historical place name | Country | Administration | Time |
|---|---|---|---|
| Sattai | Austro-Hungary | Dauba | before the Treaty of Saint-Germain |
| Satyní | Austro-Hungary | Dauba | before the Treaty of Saint-Germain |
| Zátyní | Czechoslovakia | Dubá | after the Treaty of Saint-Germain |
| Sattai | Czechoslovakia | Dubá | after the Treaty of Saint-Germain |
| Sattai | German Empire | Dauba | 1938 |
| Zátyní | Czechoslovakia | Doksy | 1945 |
| Zátyní | Czechoslovakia | Česká Lípa | 1992 |
| Zátyní | Czech Republic | Česká Lípa | 1993 |