Brief background
For my training as a psychotherapist I have to complete a one year internship as a psychologist in a psychiatric clinic. My first employer has terminated my contract at the end of the probation period. They did not give a reason (they don't legally have to), but my team and my supervisor were satisfied with my work behavior. My supervisor assumes that the reason was reducing personnel cost. I have receieved a very good employment reference letter.
I have applied for another internship, had been invited for a job interview, and am now waiting for their decision. The interviewer knows that I have been fired. We have spoken about it in the job interview. At the end of the interview I was told that I should let them know within a week whether I am still interetested in the position and that I would hear back from them within two to three weeks. I sent them an affirmation by email (as requested) after two days.
It has been four weeks since the interview, and I would like to enquire what the status of the application is. I am afraid that they are deciding for someone else because they are worried that I was in fact responsible for my dismissal and have lied to them about the reasons.
Question
When inquiring about the status of my application, should I offer to put them in contact with my former supervisor so that they can directly inquire about the true reason for my dismissal and my actual work behavior?
Or does that make my situation even more awkward than it already is?
Note.
I live and work in Germany. In Germany it is illegal both for companies to inquire with former employers as well as for former employers to disclose information about a former employee without that employees consent.