In a medium bowl combine 1/3 cup flour, 1 teaspoon salt and 1/2 teaspoon pepper.
Slice the chicken breasts in half lengthwise. Dredge each chicken cutlet in the flour mixture to coat.
In a large skillet, combine 2 Tablespoons salted butter and 2 Tablespoons sun dried tomato oil (from the jar of sun dried tomatoes.) Heat on medium heat, the add the chicken and brown for 3-4 minutes on each side or until internal temperature reaches 165° F. Transfer cooked chicken to a plate and cover with foil.
To the same skillet, add minced garlic and sauté for 1 minute, until fragrant.
Add chicken broth and scrape the pan with a wooden spoon to deglaze.
Reduce heat to medium low; add the heavy cream and Parmesan. Simmer for 2-3 minutes, stirring regularly, until thickened.
Stir in the seasonings and add the chicken back into the pan. Garnish with fresh basil.