Sklená was formerly part of the German Empire. In the German Empire, the place was called Glasdorf.
The place is now abandoned and the area belongs to Czech Republic.
| Historical place name | Country | Administration | Time |
|---|---|---|---|
| Glasdorf | Austro-Hungary | Mährisch-Schönberg | before the Treaty of Saint-Germain |
| Sklenná | Austro-Hungary | Mährisch-Schönberg | before the Treaty of Saint-Germain |
| Sklená | Czechoslovakia | Šumperk | after the Treaty of Saint-Germain |
| Glasdorf | Czechoslovakia | Šumperk | after the Treaty of Saint-Germain |
| Glasdorf | German Empire | Mährisch Schönberg | 1938 |
| Sklená | Czechoslovakia | Šumperk | 1945 |
| - aufgelassen - | Czechoslovakia | Šumperk | 1992 |
| - aufgelassen - | Czech Republic | Šumperk | 1993 |