In order to work independently, your residence permit must explicitly state "Employment allowed" ("Erwerstätigkeit gestattet") or "Self-employment permitted" ("selbständige Tätigkeit gestattet"). If you have been recognised as entitled to asylum, refugee status or subsidiary protection, you should be able to find one of these sentences on the small green sheet you have received, along with your residence permit, from the Immigration Office. If your residence permit does not allow self-employment, you can, under certain conditions, apply to the Immigration Office for a residence permit in accordance with §21 par. 6 Residence Act. For more information in this regard, check our chapter "Immigration to Germany".
Please note: If you have a Tolerated Stay Permit ("Duldung") or in case your asylum procedure is still ongoing, you will not be allowed to work as self-employed.