How do you cure an anal abcess with home remedies?

Hot baths/hot packs. Often an anal abscess will start to drain on its on with heat. If the swelling, pain or area of redness worsens then go the your doctor or the er. Occasionally this can turn into a very severe infection if it goes untreated for too long.
Unwise. This is not the sort of condition you should attempt to manage without physician input. It can become extremely severe and potentially life-threatening and may require hospitalization for successful management. Applying moist heat frequently may help it drain, but that will not explain why it occurred or prevent it from recurring or extending to other areas. See somebody soon and get treated. Best.