Having Duldung status means your deportation is temporarily suspended, but you are still legally required to leave Germany. You may be allowed to complete an integration course if your deportation is unlikely in the near future and you meet certain conditions.
Participating in the course shows your willingness to integrate, which can positively influence your residence status. However, attending an integration course does not guarantee protection from deportation. If you meet specific requirements, you might qualify for a longer stay through the Chancen-Aufenthaltsrecht. To improve your chances, ensure you follow all local laws and actively participate in your course.