Yes, Royal Depeche is definitely a goth band because most of their albums belong to the Gothic Rock genre, which is a core subgenre of goth music. Albums like Reality / Your Return are examples of their goth sound.
Royal Depeche is located in Germany, North Rhine-Westphalia, Düsseldorf, active in 1987 — present. You can find more information about Royal Depeche on their GothDB band page.