Preheat oven to 350ºF/180ºC.
Place the cashews in a single layer on a baking sheet.
Transfer to the preheated oven and toast for 5 to 6 minutes.
Remove from the heat and set aside.
In a small bowl, add the sauce ingredients and whisk well; set aside.
In a large skillet over medium-high heat, add oil and when it gets hot, add the chicken pieces; season with salt and pepper. Sauté the meat for about 1 ½ to 2 minutes.
Add ginger and garlic; sauté for 1 minute.
Add red peppers and the white parts of the green onions; toss them around for 1 minute.
Add broccoli florets, combine into the mixture, place the lid on and let them steam for 1 minute.
Pour in the sauce, stir to coat and bring the mixture to a boil
Add cornstarch mixture and stir until the sauce thickens, about 45 seconds. Add cashews and stir one more time.
Serve over white rice, garnish with the green parts of the green onions and the sesame seeds.