Step 1: Brown the Sausage

In a large pot over medium heat, add the olive oil and the sliced kielbasa. Cook until the sausage is browned on both sides, about 5 minutes. Remove the kielbasa from the pot using a slotted spoon and set it aside.

Step 2: Sauté the Aromatics

In the same pot, add the chopped onion and minced garlic. Sauté until the onion is translucent and the garlic is fragrant, about 2-3 minutes.

Step 3: Add the Broth and Vegetables

Pour in the chicken broth and add the diced potatoes, sliced carrots, and sliced celery. Bring the mixture to a boil.

Step 4: Simmer the Soup

Reduce the heat to low, cover the pot, and simmer the soup for about 20 minutes, or until the potatoes and carrots are tender.

Step 5: Finish the Soup

Stir in the heavy cream and the reserved browned kielbasa. Let the soup simmer for an additional 5 minutes to allow the flavors to meld.

Step 6: Season and Serve

Taste the soup and adjust the seasoning with salt and pepper as needed. Ladle the Kielbasa Potato Soup into bowls and garnish with fresh chopped parsley.