Heat 2 tablespoons extra virgin olive oil in a large skillet over medium heat.
Add the 2 boneless and skinless chicken breasts cut into bite-size pieces. Sauté, stirring occasionally, until the pieces are lightly golden, about 4–5 minutes.
Add 1 onion (coarsely chopped), 1 medium red potato (peeled and diced), and 1 large carrot (peeled and thinly sliced). Continue cooking, stirring occasionally, until the potatoes are tender and the chicken is cooked through, about 10–12 minutes (cover the skillet for part of the time if the potatoes need help cooking).
Stir in 1 garlic clove (minced), 1 tablespoon balsamic vinegar, 1/4 cup basil (freshly chopped), 1 tablespoon thyme leaves (fresh), 1/2 teaspoon kosher or sea salt, and 1/4 teaspoon black pepper. Sauté for 1 additional minute.
Remove from heat, sprinkle 2 tablespoons Italian parsley (chopped) over the top as a garnish, and serve.