In fact, ther term “copyright” used in English is the same used in Germany. However, this is legally very imprecise, since the Anglo-American “copyright” actually only includes the right to make copies, i.e. in German law is the right of reproduction.
The “copyright” would rather be called a “moral right”. However, since the national regulations differ greatly (e.g. transfer of full rights under Anglo-American law ./. Non-transferability in continental Europe) there is no completely uniform international language.