Season & Sear the Chicken: Pat the chicken cutlets thoroughly dry with paper towels to ensure golden browning. Season generously on both sides with 3/4 teaspoon salt and 1/2 teaspoon black pepper. Heat 1 tablespoon olive oil and 1 tablespoon butter in a large 12-inch cast iron skillet over medium-high heat until hot and shimmering. Add chicken cutlets in a single layer and sear undisturbed for 4 to 5 minutes per side until deeply golden-brown and cooked to 160°F (71°C). Transfer chicken to a warm plate and tent with foil.

Sauté Shallots & Aromatics: Reduce the skillet heat to medium. Add the thinly sliced shallots and sauté for 2 to 3 minutes until softened and caramelized around the edges. Stir in the minced garlic, chopped rosemary, and fresh thyme, tossing continuously for 60 seconds until fragrant and aromatic.

Simmer the Ruby Cranberry Balsamic Glaze: Pour in the balsamic vinegar, chicken broth, honey, remaining 1/4 teaspoon salt, and the fresh cranberries. Use a wooden spatula to scrape up all the savory browned bits (fond) from the bottom of the pan. Bring the mixture to a brisk simmer. Cook for 5 to 6 minutes, stirring occasionally, until the cranberries begin to soften and gently burst, thickening the liquid into a glossy, jewel-toned magenta glaze.

Nestle & Coat the Chicken: Return the seared chicken cutlets and any accumulated resting juices back into the skillet. Spoon the bubbly, warm cranberry balsamic glaze generously over the tops of the cutlets. Simmer gently for 2 to 3 minutes until the chicken is thoroughly warmed through and coated in the sticky, sweet-tart reduction.

Finish with Velvety Butter Emulsion: Remove the skillet from heat. Swirl the remaining 1 tablespoon of cold butter into the sauce until melted, imparting a luxurious, glossy restaurant finish. Garnish with fresh rosemary sprigs and freshly cracked black pepper. Serve warm immediately.