In a large soup pot, melt the coconut oil over medium-low heat. Add the sliced carrot, celery root, and rutabaga. Cover and let cook for about 10 minutes, or until fork tender.
While the vegetables are sauteeing, skin the salmon. Discard the salmon skin. Set aside the salmon fillets.
Add the broth to the pot and bring to a low rolling boil for 5-10 minutes, until vegetables are fork tender.
Add salmon into the pot and poach the salmon for 10-15 minutes. Add a small amount of water if needed to ensure the salmon is covered with boiling liquid.
With a fork, gently flake the fish into chunks. Stir in the coconut milk, garlic and ginger. Season to taste with sea salt.
Divide into serving bowls and garnish with chopped parsley, if desired. Enjoy!