Adjust oven rack to lower-middle position; heat oven to 400 degrees. Spread flour in pie plate or shallow baking dish. Beat eggs with 1 tablespoon vegetable oil and 1 tablespoon water in second pie plate or shallow baking dish. Spread bread crumbs in third pie plate or shallow baking dish. Unwrap chicken breasts and roll in flour; shake off excess. Using tongs, roll breasts in egg mixture; let excess drip off. Transfer to bread crumbs; shake pan to roll breasts in crumbs, then press with fingers to help crumbs adhere. Place breaded chicken breasts on large wire rack set over jelly-roll pan.
Heat remaining 3⁄4 cup oil in medium skillet over medium-high heat until shimmering, but not smoking, about 4 minutes; add chicken, seam side down, and cook until medium golden brown, about 2 minutes. Turn each roll and cook until medium golden brown on all sides, 2 to 3 minutes longer. Return chicken rolls, seam side down, to wire rack set over jelly-roll pan; bake until deep golden brown and instant-read thermometer inserted into center of each roll registers 155 degrees, about 15 minutes. Let stand 5 minutes before slicing each roll crosswise diagonally into 5 medallions; arrange on individual dinner plates and serve.
1 tablespoon butter
1 small onion, minced
1 small garlic clove, minced
2 ounces cream cheese, softened
1 teaspoon chopped fresh thyme leaves
2 ounces gorgonzola cheese, crumbled (about 1⁄2 cup)
1⁄4 cup chopped toasted walnuts
3 medium dried figs, chopped (about 2 tablespoons)
1 tablespoon dry sherry
Salt and ground black pepper
Heat butter in medium skillet over low heat until melted; add onion and sauté, stirring occasionally, until deep golden brown, 15 to 20 minutes. Stir in garlic and cook until fragrant, about 30 seconds longer; set aside. In medium bowl using hand mixer, beat cream cheese on medium speed until light and fluffy, about 1 minute. Stir in onion mixture, gorgonzola, walnuts, figs, and sherry; season with salt and pepper and set aside.
Recipe source: America’s Test Kitchen. Valley Fig is a proud sponsor of the America’s Test Kitchen television series 2007 season.