In a bowl whisk together the cider, cornstarch, honey, mustard, salt and pepper. Stir until dissolve cornmeal. Peel and cut the apples into eighths. Reserve them.
On the other hand seasoning chicken breasts, coat in flour, shake to remove excess. Put a pot or deep frying pan on the fire and add the two tablespoons of olive oil.
Fry the breasts for three or four minutes, turn them over when they are golden brown. Add the apples and continue frying until the chicken is done on the other side.
Add the chicken broth and cider mixture to the saucepan, bring to a boil. Lower the heat, cover the pot and let it simmer until the chicken is tender, for about fifteen minutes or so.