Sauté the vegetables: In a large pot, heat olive oil over medium heat. Add onions, leeks, carrots, celery, and 1 teaspoon kosher salt. Cook, stirring occasionally, for 14-16 minutes until soft.
Add aromatics: Stir in garlic, turmeric, and poultry seasoning. Cook for another 2-3 minutes until fragrant.
Add broth, coconut milk, and chicken: Pour in broth, coconut milk, and add the chicken. Bring to a simmer, cover, and cook on low for 15-20 minutes until the chicken is cooked through.
Shred the chicken: Remove the chicken, shred or chop it, and return it to the pot. Add peas and parsley. Simmer for another 5 minutes until the peas are soft.
Season and serve: Taste and adjust seasoning with salt and pepper. Serve hot, garnished with extra parsley.