Can I go to another country for jobs after getting a visa and completing my studies in one country in Germany?

No, a post-study work visa (PSW) from one country - such as Germany - allows you to work only in that country after graduation. It does not permit you to work in other countries.

If you want to work in a different country after your studies, you must apply separately for that country's work visa or permit. Visa rules and eligibility criteria vary by country and are subject to change.