If you are from a country that Germany considers a safe country you do not receive working permission during the asylum process. Not as I know it. If you are from a country that is not considered safe, after being registered for 3 months you are typically allowed to start working. Some cities have what’s called a “Vorrangprüfung”, which is a test by the foreign aliens department that no-german and no-EU-citizen can do this job. Some cities have it. Munich does.
So it’s something you need to be aware of. After 15 months of being registered in Germany this first check falls away and after being recognised, you are recognised within 10 months, this check is also not longer there.