Sprinkle the chicken with salt and pepper. Heat 3 tablespoons of the canola oil in a wok or large skillet over high heat. Add the chicken and cook until browned and cooked through, 4 to 5 minutes. Remove the chicken to a plate.
Add the remaining tablespoon canola oil to the wok. Add the butternut squash and cook until it starts to caramelize on the edges and becomes slightly tender, 6 to 7 minutes. Add the peppers and cook until heated through. Add the ginger and cook for another minute. Add the edamame, peanut satay sauce, soy sauce, sriracha and lime juice. Return the chicken to the wok and cook until everything is heated through, 3 to 4 minutes.
Transfer to a platter and garnish with the cilantro and peanuts. Serve with white rice.