Slice each chicken breast in half lengthwise to make 4 cutlets and pat dry.
Season both sides of the cutlets with garlic powder, salt, and pepper.
Lightly coat each cutlet in flour, shaking off excess.
Heat a skillet over medium-high and add the olive oil and 1 tablespoon butter.
When the pan is hot, add the chicken and cook 4–5 minutes per side until golden brown; reduce heat if oil splatters. Remove chicken and set aside.
Remove the pan from heat and add the remaining 2 tablespoons butter, chicken broth, Dijon mustard, and honey; stir to combine.
Return the pan to medium heat and cook the sauce, stirring, until the mustard dissolves and the liquid is slightly reduced but not dry.
Stir in the heavy cream and bring the sauce to a gentle simmer.
Return the chicken to the pan and simmer in the sauce for about 5 minutes, or until the chicken reaches 165°F and the sauce has thickened to your liking.
Serve the chicken with spooned sauce.