Głębokie was formerly part of the German Empire. In the German Empire, the place was called Glembach.
The place is now called Głębokie and belongs to Poland.
| Historical place name | Country | Administration | Time |
|---|---|---|---|
| Glembach | German Empire | Crossen (Oder) | 1939 |
| Głębokie | Under Polish administration | Krosno Odrzańskie | 1945 |
| Głębokie | Poland | Zielona Góra | 1992 |