In a lightly oiled saucepan, saute onion and garlic over medium-high heat until onion in soft but not brown. Add chicken pieces, and saute until chicken is cooked through. Stir in chicken broth, carrots, honey, mustard, parsley, salt and pepper. Mix cornstarch with a few tablespoons of water to make a paste. Bring chicken mixture to a boil, and stir in cornstarch mixture. Cook, stirring constantly, until thick. Mixture should get pretty thick: add more cornstarch mixture if necessary.