Prepare all your ingredients by slicing the chicken, shredding the cabbage, slicing the bell pepper, and julienning the carrot. Set aside.
Heat the vegetable oil in a large wok or skillet over medium-high heat.
Add the minced garlic and grated ginger to the wok, stirring quickly for about 30 seconds until fragrant.
Add the sliced chicken to the wok, cooking for about 4-5 minutes until the chicken is cooked through and no longer pink. Stir constantly to ensure even cooking.
Once the chicken is cooked, add the cabbage, bell pepper, carrot, and snap peas. Stir-fry the vegetables for about 3-4 minutes until they are tender but still crisp.
Pour in the soy sauce, oyster sauce, and sesame oil. Mix everything well and let it cook for another 1-2 minutes, allowing the flavors to meld. Season with salt and pepper to taste.
Remove from heat and serve immediately, either on its own or over cooked jasmine rice or noodles.