Kozarek Mały was formerly part of the German Empire. In the German Empire, the place was called Zweilinden.
The place is now called Kozarek Mały and belongs to Poland.
| Historical place name | Country | Administration | Time |
|---|---|---|---|
| Lindenhof | German Empire | Sensburg | 1938 |
| Zweilinden | German Empire | Sensburg | 1939 |
| Kozarek Mały | Under Polish administration | Mrągowo | 1945 |
| Kozarek Mały | Poland | Olsztyn | 1992 |