Remove and discard skin from chicken. Sprinkle chicken with garlic, thyme, and salt. Place chicken in 3 1/2- or 4-quart slow cooker. Pour orange juice and vinegar over chicken.
Cover and cook on low-heat setting for 6 to 7 hours or on high-heat setting for 3 to 3-1/2 hours. Remove chicken from slow cooker; cover and keep warm. Discard cooking juices.