Using a very sharp knife, cut chicken breasts in half to form two thin chicken cutlets.
In a small bowl, combine the Greek yogurt and pesto.
Season the chicken cutlets generously with sea salt and black pepper.
Rub each piece of chicken with the creamy pesto sauce, evenly coating.
Add olive oil to the skillet and heat over medium heat. Place the chicken into the skillet, and cook for about 8 minutes per side, until golden brown, or until chicken is cooked through.
Increase the heat to medium-high, and add in the vegetables. Stir fry the vegetables for 5-10 minutes, until cooked to taste.
Remove the skillet from heat, and nestle the pesto chicken back in to the pan with the vegetables. Top the dish with fresh chopped basil and additional parmesan cheese, if desired. This is also delicious topped with pine nuts or chopped walnuts, to give it some texture!