In a pot over medium heat, add olive oil, garlic, rosemary, anchovies and cook for 2 minutes. Add celery and leek. and cook for 4 minutes. Add chicken broth, stir and bring to a boil.
Cover and simmer for 30 minutes. Add 1/2 cup water, stir and season with salt & pepper. Add corn and simmer for 5 minutes.
Add shrimps, mussels and fish and cook for 5 minutes. Serve topped with fresh parsley.