Cook penne in large pot with tablespoon salt to 1 minute short of package time. Reserve 1 cup pasta water; drain.
Meanwhile, season chicken with its salt and pepper. Heat oil in large skillet; cook 6 to 8 minutes, turning, until browned and at least 165°F. Plate.
Reduce to medium; stir garlic, tomatoes, and paste 1 minute. Add broth, cream, oregano, and red pepper; gently simmer 4 minutes.
Add pasta, chicken, and 1/4 cup reserved water; toss over low 1 to 2 minutes until pasta tender.
Remove from heat; add Parmesan and pasta water by tablespoon if needed for smooth coating. Serve promptly.