Cut chicken in half lengthwise, season with garlic powder, salt, and pepper, then dredge in flour.
Heat butter and olive oil in a skillet over medium-high heat; cook chicken until golden and cooked through, about 5-6 minutes per side. Transfer to a plate.
Reduce heat to medium; add garlic and tomato paste, cook for 20-30 seconds.
Whisk in cream and Italian seasoning; stir in chopped tomato and cook for 3-5 minutes.
Return chicken to skillet, spoon sauce over, season if needed, and serve immediately.