CoxHealth Fitness Center Republic Address 711 E. Miller Road Republic, MO 65738 location Get Directions Phone: 417-269-2428 Hours 24 hours, 7 days a week.Holiday hours are subject to change. Please call for more information. All the equipment and resources you need to get fit - and stay that way.CoxHealth Fitness Centers Republic, inside the Republic Community Center, offers the classes, exercise equipment and resources you need –in a medical fitness environment – to achieve and maintain a healthy lifestyle.