Prepare the noodles according to package directions.
Meanwhile, heat the oil in a deep skillet set over medium-low heat. Add the garlic and hot pepper flakes. Cook, stirring often, for 2 minutes or until fragrant. Add the kale and broth; cover and cook for 3 minutes.
Uncover and stir in the hot cooked noodles. Season with salt and pepper. Add extra broth to moisten as needed and adjust seasonings to taste. Serve immediately.