Sucha was formerly part of the German Empire. In the German Empire, the place was called Zauche.
The place is now called Sucha and belongs to Poland.
| Historical place name | Country | Administration | Time |
|---|---|---|---|
| Zauche | German Empire | Grünberg i. Schles. | 1939 |
| Sucha | Under Polish administration | Zielona Góra | 1945 |
| Sucha | Poland | Zielona Góra | 1992 |