In a small saucepan, combine potatoes with the 1 cup of water. Cover and cook on medium heat for 10 minutes, stirring occasionally. Once cooked, turn heat off, drain, add almond milk, and blend using an immersion blender. Leave it in the pan as you finish making the soup.
While the potatoes are cooking, start the soup. In a large pot or dutch oven, combine garlic oil, fat, carrots, celery, green onions and potatoes. Sauté for about 5 minutes.
Add 3-4 cups broth or water, thyme, rosemary, green beans, and salt. Cover and cook 10 minutes, stirring regularly.
Add the potato puree to the soup, stir in chicken and cook for 10 more minutes uncovered.
*Use garlic cloves if you don't need it low FODMAP. Use water or homemade broth to keep it low FODMAP. All store bought broths have onion and garlic.