Heat the olive oil in a ~3 quart pot, and sauté the diced onion and diced carrots for 5 minutes.
Add the cauliflower florets, sliced celery and minced garlic. Stir, and sauté for 2 minutes.
Add the coconut milk, chicken broth, chicken, salt, and pepper. Stir, and allow to come to a boil.
Reduce heat and simmer for 10 minutes, or until the carrots and cauliflower are cooked to your liking.
Remove from heat. Stir in the lemon juice, dried oregano, and fresh parsley. Season with additional salt, if needed. Serve hot.