Wash and prepare all the ingredients. Slice the chicken into thin strips, cut the broccoli into small florets, slice the red bell pepper and carrot, mince the garlic, and grate the ginger.
Heat the olive oil in a large skillet or wok over medium-high heat until it is hot.
Add the sliced chicken to the pan. Season with a little salt and black pepper, then cook for 4–5 minutes, stirring often, until the chicken is lightly browned.
Add the minced garlic and grated ginger. Stir continuously for about 30 seconds until fragrant.
Add the broccoli florets, sliced red bell pepper, and sliced carrot to the pan.
Stir-fry everything together for 4–5 minutes, stirring frequently, until the vegetables are tender-crisp.
Pour in the soy sauce and oyster sauce. Stir well so the chicken and vegetables are evenly coated with the sauce.