Głuszyna was formerly part of the German Empire. In the German Empire, the place was called Glauschdorf.
The place is now called Głuszyna and belongs to Poland.
| Historical place name | Country | Administration | Time |
|---|---|---|---|
| Glauschdorf | German Empire | Oststernberg | 1939 |
| Głuszyna | Under Polish administration | Sulęcin | 1945 |
| Głuszyna | Poland | Gorzów | 1992 |