Combine the chopped apple, shredded cheese, and breadcrumbs. Set aside.
Flatten the chicken breasts between two sheets of wax paper until they're 1/4" thick. Divide the apple mixture evenly between the 2 chicken breasts. Roll up each breast and secure with toothpicks.
Melt the butter in a skillet over medium heat. Brown the chicken breast. Add the wine or broth and 1/4 cup water. Cover and simmer for 15-20 minutes or until the chicken is no longer pink.
Transfer the chicken to a serving platter. Combine the 1 tbsp water with the cornstarch and then stir the mixture into the pan juices. Cook and stir until thickened. Pour the gravy over the chicken and garnish with parsley.
Notes
I like to make extra stuffing to add on top of the rolled-up chicken in addition to what's stuffed inside.