In a large pot, heat the olive oil over medium heat. Add the chopped onion and sauté for about 3-4 minutes until translucent.
Stir in the minced garlic and cook for an additional minute until fragrant.
Add the sliced kielbasa to the pot and cook for about 5 minutes, stirring occasionally, until the sausage is browned.
Add the diced potatoes, chicken broth, dried thyme, paprika, salt, and pepper. Bring the mixture to a boil, then reduce the heat and let it simmer for 15-20 minutes, or until the potatoes are tender.
Stir in the heavy cream and frozen peas, and cook for another 5 minutes until heated through.
Taste and adjust seasoning if necessary. Serve hot, garnished with fresh parsley.