Heat the olive oil in a large skillet over medium heat. Add the garlic and cook, stirring, for 30 seconds, or until fragrant but not browned.
Add the cabbage, salt, and several grinds of pepper, toss, and cook for 2 minutes, or until the cabbage starts to soften.
Add the vinegar, toss, and cook, tossing, until most of the liquid cooks off and the cabbage is tender and browned, about 6 minutes. Season to taste and serve.