1. Combine first 7 ingredients in a bowl, stirring well. Scrape the yogurt mixture into a large zip-top plastic bag. Add the chicken to yogurt mixture in bag; seal. Marinate in refrigerator for 2 hours. Remove chicken from bag; discard marinade. Sprinkle both sides of chicken evenly with salt.
2. Preheat grill to medium-high heat.
3. Brush grill rack with oil. Arrange chicken on grill rack. Grill 6 minutes on each side or until done.