Heat 1 teaspoon of canola oil in a large nonstick skillet set over medium-high heat.
Add the ginger and cook, stirring for 30 seconds. Add the garlic and cook for additional 30 seconds.
Stir in the chicken breast and ground pepper, and stir-fry until the chicken is just cooked through, about 4 minutes. Remove the chicken from the pan and set aside.
Heat the remaining 1 teaspoon of canola oil in the same pan.
Add the crimini and shiitake mushroom and cook until starting to soften, about 3 minutes. Add the zucchini and cook for 1 minute.
In a small bowl, whisk together the hoisin sauce, chicken broth, soy sauce and red pepper flakes.
Add the sauce and the cooked chicken to the mushroom mixture and stir until heated and coated with sauce.
Divide the rice between 4 bowls (⅓ cup rice per bowl) and top each with the chicken mixture. Serve.