Zimna was formerly part of the German Empire. In the German Empire, the place was called Kaltenfließ.
The place is now called Zimna and belongs to Poland.
| Historical place name | Country | Administration | Time |
|---|---|---|---|
| Zymna | German Empire | Johannisburg | 1932 |
| Kaltenfließ | German Empire | Johannisburg | 1939 |
| Zimna | Under Polish administration | Pisz | 1945 |
| Zimna | Poland | Suwałki | 1992 |