Heat the oil in a wok or large skillet over medium-high heat. Add the chicken and sear until browned. Remove from the pan and add the onion and garlic.
Cook until slightly softened and add the zucchini and carrots. Stir and cook for 1 minute. Add the seasonings and stir for 1 more minute. Add the lime juice and the chicken back to the pan. Stir and cook until the chicken is cooked through.