Kużaj was formerly part of the German Empire. In the German Empire, the place was called Huhnfeld.
The place is now called Kużaj and belongs to Poland.
| Historical place name | Country | Administration | Time |
|---|---|---|---|
| Kuzaj | Russian Empire | Veljunˈ | 1914 |
| Kużaj | Poland | Wieluń | 1921 |
| Huhnfeld | German Empire | Welungen | 1939 |
| Kuzaj | Poland | Wieruszów | 1945 |
| Kużaj | Poland | Kalisz | 1992 |