Heat oil in a large skillet over medium heat. Season the chicken with salt & pepper & cook on one side until golden, about 4-6 minutes. Flip, cook for 1 minute then transfer chicken to a 9×13-inch baking pan.
Place peaches, sugar, thyme & ginger over & around chicken. Add the chicken broth & bake for about 45 minutes or until chicken is cooked through. While chicken is baking prepare couscous.
Heat 1 teaspoon of olive oil in medium saucepan over medium heat. Add green onion, cumin, ginger & garlic clove. Cook & stir for about 3 minutes until green onion is softened.
Add honey. Heat & stir for about 30 seconds until green onion is coated.
Add broth. Bring to a boil. Add couscous & 2 teaspoons oil. Stir. Cover. Remove from heat. Let stand for 5 minutes without lifting lid. Fluff with fork. Stir in chopped parsley & season with salt & pepper to taste.
Serve the chicken & peaches over couscous with any ginger sauce from baking pan.