In a large skillet, heat olive oil over medium heat. Add the sliced sausage and cook until browned on all sides, about 5-7 minutes. Remove the sausage from the skillet and set aside.

In the same skillet, add the onion and garlic. Cook until the onion is translucent and fragrant, about 5 minutes.

Add the drained sauerkraut, chicken broth, brown sugar, and caraway seeds (if using) to the skillet. Stir to combine.

Return the sausage to the skillet, mixing it with the sauerkraut mixture. Cover and simmer on low heat for 20 minutes, allowing the flavors to meld together.

Season with salt and pepper to taste. Garnish with fresh parsley before serving.