The other answers are fine and mine should not be understood as exclusive. It's more of a lengthy explanation of the cultural background of why the other answers are correct:
Germans tend to believe what you present in the interview. Compared to other countries, we are not used to people lying in an interview. Sure, a little white lie here or there or maybe omission of facts that are not necessary to bring up if not asked for, but nothing you'd classify as intentional fraud. Other countries seem to have that and I can see Germany getting into coding tests real quick if we had fraudulent applicants en masse (like this poster).
Why is that? Well, much of our interview process is written down. We have no system of "references" where HR calls a former coworker or boss and gets verbal information. We have a system of written testimonials, both for certificates and former job experience. Now you could say "well, but that's even easier to fake than having to have a guy waiting for a random call. That's just a paper I need to make up!" and that's true. But it's on file. Forever.
Now, being on file seems to be nothing special. Who cares if your potential lie is on file, as long as you got the job, right? Well, yes, but... Germany has a good system of workers rights. It's hard to get rid of somebody, there are unions, protections, long notice periods. Special rights for disabled people, anti-discrimination laws etc. Lying on your application is the absolutely fastest way to be out of a job. You could not get fired faster if you had attacked your boss with an axe. There is no protection, no benefits, nothing that would hinder the company to kick you out the minute they find out. Courts even ruled that lying on the application is a reason for immediate termination of the contract even if the person did the job properly for years, which common sense dictates means their lie was of no consequence to the company in the end.
So lying is the stupidest thing you could do when applying for a job, in Germany even more so than elsewhere. Germans rely on applicants to know this and act accordingly. If you have a paper that says you did a good job in your previous company (Arbeitszeugnis) they tend to believe that. If you have a paper saying you finished your education with success, they tend to believe that.
I've interviewed my fair share of developers in Germany and though some were not what I was looking for, I did not meet a single one that would not have been able to code FizzBuzz in at least two languages and pseudo-code. But they all had written references from an institution I trusted, that had already certified that they could do it. There was no need to do it all over again.
In addition, German contracts normally contain a probation period where company and worker can quit at very short notice without the need to give a reason.
So with the majority of applicants already certified by a trusted source (other company or educational institution) to be able to solve simple coding tasks and the good feeling that you can still get rid of people that somehow faked it very fast, there simply is no need for such tests.
Personally, I am a fan of having the potential candidate over for a test under real conditions, not on a whiteboard with an artificial task, but that's another story. Most Germans require no coding test and that's not a bad sign. It's not an exceptionally good sign either, it's basically just the default.