Heat a large pot over medium heat and add a splash of oil.
Sauté the chopped onion, carrots, and celery for about 5 minutes until softened.
Add the minced garlic and cook for another minute.
Stir in the rinsed split peas and mix well with the vegetables.
Add the ham hock and broth to the pot, along with the bay leaf.
Bring the mixture to a boil, then reduce the heat to low.
Cover and simmer for about 45 minutes, stirring occasionally.
Remove the ham hock and shred any meat, returning it to the pot.
Season with salt and pepper to taste.
Serve hot, garnished with fresh parsley.