Heat the oil in a medium oven-safe skillet over medium-high heat. Once oil is shimmering, add in the chicken and season with salt, pepper, and garlic powder. Cook for 7 minutes or until no longer pink on the inside and lightly browned. Remove the chicken from the skillet and set aside on a plate. Add in the broccoli and broccoli noodles, season with salt and pepper, and toss. Add in the chicken broth, toss, and cook for 5 minutes or until broccoli is tender.