In a small bowl, combine the sweet paprika, salt, and black pepper.
Pat the chicken cutlets dry and sprinkle both sides evenly with the spice blend.
Heat a 12-inch heavy skillet over medium-high heat and add the olive oil until hot but not smoking.
Place the seasoned cutlets in the skillet in a single layer and cook without moving for 5–6 minutes to brown.
Flip the cutlets and cook the second side 4–6 minutes more, until an instant-read thermometer reads 165°F; then remove the chicken to a plate and tent loosely with foil to rest.
Reduce the heat to medium-low and add the minced garlic, chopped thyme, and chopped rosemary to the skillet; cook, stirring, 1–2 minutes until fragrant.
Add the chicken broth and simmer 5 minutes, or until the liquid is reduced by about half.
Whisk in the unsalted butter until melted and the sauce is glossy, then remove the skillet from the heat.
Return the chicken to the skillet and spoon the herb sauce over the cutlets to coat.
Slice each cutlet if desired, transfer to a serving plate, spoon additional sauce over the chicken, and garnish with extra thyme if using.