Add cauliflower florets and a pinch of salt. Pour in 2 cups of chicken broth and bring to a simmer. Cover and cook for 5-7 minutes until cauliflower is tender.
Stir in grated ginger, chopped carrot, and mint leaves (optional). Cook for an additional 3-4 minutes until the vegetables soften.
Use an immersion blender to blend the soup halfway, leaving some texture. Add shredded chicken and more chicken broth if needed, and cook for another 5-6 minutes.
Taste and adjust with salt and pepper as needed. Serve hot with a garnish of fresh mint if desired.