Heat a large skillet over medium heat and add the olive oil.
Add the bite-size chicken pieces and sauté until lightly golden on all sides, about 4–6 minutes.
Add the coarsely chopped onion, diced potato and sliced carrot to the skillet; continue to cook, stirring occasionally, until the vegetables are tender and the chicken is cooked through, about 10–12 minutes.
Stir in the minced garlic, balsamic vinegar, chopped basil and thyme leaves; season with salt and black pepper and sauté for 1 additional minute to combine flavors.
Remove from heat, sprinkle with the chopped Italian parsley, and serve.