Rzęśnica was formerly part of the German Empire. In the German Empire, the place was called Grünberg.
The place is now called Rzęśnica and belongs to Poland.
| Historical place name | Country | Administration | Time |
|---|---|---|---|
| Grünberg | German Empire | Dramburg | 1939 |
| Rzęśnica | Under Polish administration | Drawsko | 1945 |
| Rzęśnica | Poland | Koszalin | 1992 |