In a saucepan, melt the butter over medium heat. Add the garlic and cook until fragrant, about 30 seconds. Stir in the rice and toast for 1 minute.
Pour in the chicken broth, bring to a boil, then cover and reduce heat. Simmer 15–18 minutes until tender.
Season chicken with salt, black pepper, and Italian seasoning.
Heat olive oil and butter in a large skillet. Sear chicken 3–4 minutes per side until golden and cooked through. Remove and set aside.
In the same skillet, melt the remaining butter. Add garlic and cook 1 minute. Pour in white wine and reduce by half. Add chicken broth, lemon juice, and red pepper flakes. Simmer until glossy.
Return chicken to skillet and spoon sauce over. Sprinkle with parsley.
Remove rice from heat and stir in Parmesan cheese and heavy cream.
Serve chicken over Parmesan rice. Garnish with extra cheese or lemon wedges if desired.