Complex sentence: Piersall later had a broadcasting job with the Chicago White Sox from 1977 to 1981, and was teamed with Harry Caray but ultimately was fired after excessive on-air criticism of team management.
Split into simpler sentences: Piersall later had a broadcasting job with the Chicago White Sox from 1977 to 1981, and was teamed with Harry Caray. He was ultimately was fired after excessive on-air criticism of team management.