Sprinkle seasoning on both sides of chicken. Heat oil in a large nonstick skillet over high heat. Add chicken to pan, smooth side down; cook 1 minute or until seared. Reduce heat to medium; cook 3 minutes on each side or until lightly browned.
Combine avocado, cilantro, pepper, lime juice, and salt. Squeeze one-fourth lime over each piece of chicken before serving. Serve with avocado mixture.