Does the German student permit cover work for any employer after my studies?

The post-study residence permit is built to help graduates find suitable work, so it is broader than a typical job-specific work permit.

During the up-to-18-month job-search window after graduation, you can take up any qualified employment. Once you secure a position, you transition to a work-based residence permit, and after roughly two years in a matching job you can reach an open-ended residence title.