Press tomatoes through a sieve, using the back of a spoon; discard pulp. Combine tomato juice and chicken broth in a small Dutch oven; bring to a boil. Reduce heat; cover and simmer 30 minutes.
Return to a boil; add vermicelli. Reduce heat; cover and simmer 15 minutes. Stir in chicken and salt and pepper; heat thoroughly. Ladle into individual soup bowls; sprinkle with parsley and Parmesan cheese. Serve warm.