After the initial 24 hours following your tooth extraction, stick to soft foods such as noodles, gelatin, cottage cheese, pudding and applesauce. As your pain subsides after 24 hours, you can begin introducing foods into your diet that have more textures.ime Frames. Dentist Photo Credit Stockbyte/Stockbyte/Getty Images. Initial healing after a tooth extraction takes one to two weeks; however, you will be able to eat before the site is fully healed. The time frame for specific foods you can eat will vary depending on the procedure.