1 Heat 1 tablespoon of the oil in a large skillet over medium-high heat. 2  Add half the zucchini and cook, stirring twice, until golden brown, 10 to 12 minutes. 3  Transfer to a plate and repeat with the remaining tablespoon of oil and zucchini. Check Kosher salt and black pepper. 2  Heat 1 tablespoon of the oil in a large skillet over medium-high heat. 3  Add half the zucchini and cook, stirring twice, until golden brown, 10 to 12 minutes.