Looking on the stats of White Sox players in Winter Leagues page we find a couple interesting players, all pitchers (AFL excluded):
Clevelan Santeliz: 2.92 ERA and 1.09 WHIP with 27 Ks and 10 BBs in 24.2 IP. Has allowed 1 HR.
Miguel Socolovich: 2.87 ERA and 0.96 WHIP with 17 Ks and 4 BBs in 15.2 IP. Has allowed 1 HR.
Johnny Nunez: 4.82 ERA and 1.29 WHIP with 11 Ks and 4 BBs in 9.1 IP. Has allowed 0 HRs.
Randy Williams: 0.00 ERA and 0.95 WHIP with 7 Ks and 2 BBs in 6.1 IP. Has allowed 0 HRs.
Santo Luis: 3.46 ERA and 1.15 WHIP with 6 Ks and 8 BBs in 13.0 IP. Has allowed 1 HR.
Freddy Dolsi isn’t doing so well: 9.82 ERA and 3.82 WHIP with 2 Ks and 7 BBs in 3.2 IP. Has allowed 0 HRs.
Freddy Garcia made a brief appearance too (December 3): 2.70 ERA and 0.90 WHIP with 3 Ks and 0 BBs in 3.1 IP. Allowed 0 HRs.
Socolovich came from Boston in the David Aardsma trade. Dolsi was claimed from the Tigers last month. Luis was a AAA Rule 5 selection from Houston.