how to cook kale greens? To cook kale greens, start by washing them thoroughly and removing the tough stems. Chop or tear the leaves into bite-sized pieces. Heat a skillet over medium heat, add olive oil and minced garlic, then toss in the kale. Sauté until wilted but still bright green, about 5-7 minutes. Season with salt, pepper, and a splash of lemon juice if desired.