In a large pot, heat the vegetable oil over medium-high heat. Add the smoked pork neck and sear until browned on all sides. Remove from the pot and set aside.
In the same pot, add the chopped onion and minced garlic. Sauté until the onion is translucent and fragrant.
Stir in the tomato paste and cook for 1-2 minutes.
Add the soaked and drained fava beans, chopped carrots, and celery root (or celery stalks). Mix well.
Return the pork neck to the pot and pour in the chicken broth. Add the bay leaf and dried thyme.
Bring to a boil, then reduce heat to low. Cover and simmer for about 1.5 to 2 hours, or until the pork is tender and the beans are cooked through.
Remove the pork neck from the pot and slice into pieces. Return the slices to the pot, and adjust the seasoning with salt and black pepper.
Garnish with chopped fresh parsley before serving.
Enjoy your meal!