Cook the ramen noodles according to package directions, but reduce the cooking time by 1 minute. Drain the noodles well and set them aside.
Heat the vegetable oil in a large skillet or wok over medium-high heat. Add the chicken pieces and cook until browned and cooked through, about 5 to 7 minutes. Remove the chicken from the skillet and set it aside.
Add the minced garlic and grated ginger to the same skillet. Stir fry for about 30 seconds until fragrant.
Add the broccoli florets and sliced carrots to the skillet. Stir fry for 3 to 4 minutes until the vegetables are tender-crisp.
While the vegetables cook, whisk together the soy sauce, oyster sauce, brown sugar, rice vinegar, sesame oil, and water or broth in a small bowl to create the ramen noodle stir fry sauce.
Return the cooked chicken to the skillet. Pour the prepared sauce over the chicken and vegetables. Stir to coat everything.
Add the drained ramen noodles to the skillet. Toss everything together quickly until the noodles are heated through and coated evenly with the sauce. This takes about 1 to 2 minutes.
Remove the skillet from the heat. Garnish the savory chicken noodle toss with sliced green onions and sesame seeds before serving immediately.
Notes
For a spicier dish, add 1 teaspoon of sriracha or a pinch of red pepper flakes to the sauce mixture.
You can substitute chicken breast with boneless, skinless chicken thighs for a richer flavor.
If you do not have fresh ginger, use 1/2 teaspoon of ground ginger in the sauce.