Heat oil in large nonstick skillet on medium heat. Add chicken; cook 6 to 8 minutes on each side or until done (170 degrees F). Transfer to plate; cover to keep warm.
Add cream cheese spread to skillet; cook on medium heat 5 minutes or until melted, stirring constantly. Whisk in broth and pesto; cook and stir 2 to 3 minutes or until sauce is thickened and well blended. Pour over chicken.