Peel carrots and cut into thin rounds; chop broccoli into bite-size pieces. Mince garlic.
Cut chicken into bite size pieces. Heat a nonstick skillet over medium-high. Add the olive oil, then the chicken and sauté until golden brown.
Add broccoli and carrots, continuing to sauté until veggies are crisp-tender and chicken is cooked through. (You may add a splash of water and cover the pan to help the veggies tenderize.)
While chicken and veggies are cooking, make the sauce: add all sauce ingredients to a food processor. Pulse until coarsely chopped.
Pour the sauce into a saucepan and heat through. Serve!