Preheat oven to 350ºF.
In a 9x13 inch pan, layer chicken thighs, olive oil, seasonings, carrots, shallots and chicken broth.
Cover with aluminum foil.
Bake for 90 minutes at 350ºF.
Remove from oven, uncover, remove about 1 cup of the broth and mix 3 tablespoons cornstarch into it. Mix well with a whisk. Pour back into the pan.
Increase oven temperature to 400ºF. Bake uncovered for another 30 minutes.
Serve with hot jasmine rice.