This is a question to discuss with your dentist
. You are definitely correct that prednisone and other steroid medications like prednisone do have the effect of delaying the body's natural healing process. This is usually more of a problem with large surgeries and not such much of a problem with small procedures such as having teeth pulled.
However, this exact effect will depend on how much prednisone you are taking and for how long you have been taking it. Therefore, I strongly recommend that, before the procedure, you make sure to talk to your dentist about the fact that you are on prednisone. You should also mention any other medications that you are taking and any medical problems that you have. This information will help your dentist decide what the potential risks associated with the teeth extractions will be and, based on this, they will be able to help you decide how to proceed. I suspect that a small chronic dose of prednisone will not prevent having the extractions but, if there are many extractions to perform, your dentist may decide to perform them in stages to give plenty of time for recovery and healing.
Set up an appointment with your dentist at your earliest convenience to get your questions answered, and good luck!