* Deutsch is the German word for "German". It's the language's endonym, the name used by native speakers.
* German is the English word for the language. It's the exonym, the name used by speakers of other languages.
So, you can use either "Deutsch" or "German" to refer to the language. They both mean the same thing.
It's similar to how the French language is called "Français" by native speakers and "French" by English speakers.