Salem Gastroenterology Associates They are knowledgeable in the following conditions / disorders: Digestive Diseases. Salem Gastroenterology Associates is located on 1830 S Hawthorne Rd in Winston Salem. They can be reached by phone by calling (336) 765-0463 . They can be reached by calling (336) 765-0463 . They have a single review on MojoPages.com, and it's a positive review.