
In a large sauté pan, melt the butter over medium heat. Add the fennel and sauté until soft, about 5-7 minutes.
Add the garlic and sauté until fragrant, about 30 seconds. Throw in the cabbage and toss to coat, then add the fennel seeds and paprika. Sauté until just soft but still crunchy, about 4-5 minutes.
Pour in the broth and vinegar. Add the apples and cover, continuing to steam until tender, another 4-5 minutes. Season to taste with salt and pepper.