Mezue ahịrịokwu na-esonụ: N'afọ 2005, Cotts gara 4<unk>0 mgbe ọ na-apụta na egwuregwu 69, na-atụba 60.1 innings, na-achịkọta 1.94 ERA, na-eti 58, ma na-enye naanị 1 home run. MLB.com nyere ya "Setup Man of the Year Award", onyinye a na-ekpebi site na votu ndị na-akwado ya. N'ime
Na American League Championship Series, ọ bụ naanị White Sox reliever ịpụta na mmeri 4x1 nke Chicago, na-atụba 2/3 nke inning na Egwuregwu 1. Cotts gbara bọọlụ n'egwuregwu anọ niile nke World Series ma bụrụ onye mmeri na egwuregwu 2.