Heat the oil in a saucepan over medium-high heat. Once oil is shimmering, add the garlic, turmeric, and ginger and cook until fragrant, about 30 seconds. Add the coconut milk and broth and raise the heat to bring to a simmer. Once simmering, add the carrot noodles and chicken and let cook for 3-5 minutes or until carrot noodles soften to al dente. Garnish with scallions and red pepper flakes.