About ICON Pediatrics of Nashville Tennessee offers Concierge Pediatric Medical Care. ICON Pediatrics maintains a significantly smaller roster of patients. We set aside the time needed to be as invested in your child’s health as you are. Office visits are relaxed and yet there are no overflowing waiting rooms. Our physicians understand your child’s full health history… every last scrape, sneeze and symptom. You’ll receive a level of continuity that the patient load at typical practices simply can’t provide.