Prepare the chicken by cutting it into bite-sized pieces and seasoning with salt and pepper. Heat 1 tablespoon of olive oil in a large skillet over medium-high heat, add the chicken, and cook for 5-7 minutes until browned and cooked through. Remove and set aside.
Spiralize the zucchinis into noodles and set aside.
In the same skillet, add the remaining tablespoon of olive oil, minced garlic, sliced red bell pepper, and snap peas. Sauté for 3-4 minutes until tender-crisp.
Return the cooked chicken to the skillet, add the zucchini noodles, soy sauce, sesame oil, and ground ginger. Toss gently and cook for an additional 2-3 minutes until the zucchini noodles are tender but not mushy.
Remove from heat and garnish with chopped green onions. Serve immediately.