Place chicken breast halves between 2 sheets of plastic wrap; pound to 1/2-inch thickness. Sprinkle chicken with salt and black pepper. Heat a large skillet over medium-high heat. Add olive oil to pan. Add chicken; sauté 3 minutes on each side or until done. Transfer chicken to a serving platter. Add chicken broth, apricot preserves, and soy sauce to pan; bring to a boil. Stir. Cook 1 minute. Remove from heat; stir in fresh lime juice and Thai chile paste. Spoon over chicken; garnish with fresh cilantro leaves, if desired.