Combine first 8 ingredients in a Dutch oven; bring to a boil. Reduce heat; simmer, uncovered, 10 minutes. Add chicken; partially cover, and simmer for 45 minutes, turning chicken occasionally. Discard the cinnamon sticks and rind.
Combine noodles and boiling water in a bowl; let stand for 5 minutes or until soft. Drain. Serve chicken over noodles.
