Sprinkle chicken with 1/2 teaspoon salt and 1/4 teaspoon pepper.
In 12-inch nonstick skillet, melt butter over medium heat. Cook chicken in butter about 8 minutes, turning once, until browned.
Add cooking sauce to skillet. Heat to boiling; reduce heat to low. Simmer uncovered about 5 minutes, stirring occasionally, until juice of chicken is clear when center of thickest part is cut (at least 165°F).
Top each piece of chicken with sliced cheese and ham. Cover; remove from heat. Let stand 2 to 5 minutes or until cheese is melted. Serve with pasta.