Coat the chicken. Mix 1/2 cup flour with the pepper, paprika, and garlic powder, then dredge the cubed chicken and shake off the excess. Sear. Heat 2 tablespoons oil and 2 tablespoons butter in a large skillet over medium high heat. Cook the chicken 5 to 6 minutes, turning, until golden and 165 degrees F inside. Remove to a plate.
Bloom the garlic. Reduce to medium, stir in 2 tablespoons garlic for 30 seconds, then add 1 cup broth and scrape the pan.
Simmer the cream. Add 1 cup cream, oregano, thyme, and pepper flakes, and simmer gently for 2 to 3 minutes.
Cook the gnocchi. Stir in the gnocchi, cover, and cook 2 to 3 minutes until tender, stirring once.
Add Parmesan and tomatoes. Remove the pan from the heat and stir in 1 cup Parmesan and the sun dried tomatoes until smooth.
Combine. Return the chicken and juices to the pan, toss, and serve hot.