In 2007, Alexei Ramirez left Cuba to apply for Dominican citizenship, which allowed him to play pro baseball in the United States.  The Chicago White Sox would make the most lucrative offer, and in the following year, he was their starting Second Baseman.

Drafted 4^th overall in 1990, Alex Fernandez was coming off the Golden Spikes Award and Dick Howser Trophy while playing at the University of Miami.  It was an incredible 1990, as he would make the White Sox roster that year appearing in 13 Games.

Predominantly batting in the leadoff spot, Ray Durham was with the Chicago White Sox for the first eight seasons of his MLB career.

Chet Lemon was a First Rounder by the Oakland Athletics, but before e could make the main roster, he was traded to the White Sox.  He would win the starting Centerfielder job in 1976 and showed a balanced game of offense and defense.  Lemon was twice named an All-Star with Chicago (1978 & 1979), and in '79, he led the American League in Doubles with 44.  With the White Sox, he had four double-digit Home Run years and batted over .300 three times.  He also had three years where he had a Defensive bWAR over 1.0 three times.