1. In a large pot, brown the chorizo over medium-high heat, 1 to 2 minutes. Add the leeks and cook, stirring occasionally, until beginning to soften, 3 to 4 minutes.
2. Add the potatoes, tomatoes (with their juices), 3 cups water, 3/4 teaspoon salt, and 1/4 teaspoon pepper; cover and bring to a boil. Reduce heat and simmer until the potatoes are just tender, 10 to 12 minutes.
3. Add the fish and simmer gently until opaque throughout, 5 to 6 minutes. Stir in the parsley before serving.
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