Heat the vegetable oil in a large skillet or wok over medium-high heat.
Add the chicken strips and season with salt and pepper. Cook for about 5-7 minutes, or until the chicken is browned and cooked through. Remove the chicken from the skillet and set aside.
In the same skillet, add the broccoli, bell pepper, snap peas, and carrots. Stir-fry for 3-4 minutes until the vegetables are tender-crisp.
Add the minced garlic and ginger to the vegetables and stir-fry for an additional 1-2 minutes until fragrant.
In a small bowl, mix the soy sauce, cornstarch, and chicken broth until smooth. Pour this mixture over the vegetables in the skillet.
Return the cooked chicken to the skillet and stir everything together. Cook for another 2-3 minutes until the sauce thickens and everything is heated through.
Drizzle with sesame oil before serving. Serve over cooked rice or noodles.