Achain was formerly part of the German Empire. In the German Empire, the place was called Eschen.
The place is now called Achain and belongs to France.
| Historical place name | Country | Administration | Time |
|---|---|---|---|
| Eschen | German Empire | Château-Salins | before the Versailles Treaty |
| Achain | France | Moselle | after the Versailles Treaty |
| Eschen b. Mörchingen | German Empire | Salzburgen | 1940 |
| Eschen | German Empire | Sankt Avold | 1940 |
| Achain | France | Moselle | 1945 |
| Achain | France | Moselle | 1993 |