Combine flour, salt, pepper, paprika, and garlic powder in a mixing bowl.
Coat chicken cubes evenly with the flour and seasoning mixture.
Heat olive oil and butter in a skillet over medium-high heat.
Cook chicken for 4 to 5 minutes on each side until golden brown and fully cooked (165°F internal temperature), then remove and set aside.
Add minced garlic, chicken broth, heavy cream, and Parmesan cheese to the skillet and stir continuously until well combined.
Stir in sun-dried tomatoes, red pepper flakes, oregano, and thyme, then simmer on medium-low heat.
Add gnocchi to the skillet, cover, and cook for 2 to 3 minutes or until tender.
Return cooked chicken to the skillet, mix with sauce and gnocchi, and serve immediately.