I haven’t found many details about this, and it certainly never became Chicago legend, but this look at Luis Aparicio says:
As he left the organization, Aparicio started ‘the Looie Curse,’ often forgotten about by baseball fans who continue to only remember billy goats and Babe Ruth. Aparicio told the Chicago media that “it took the Sox 40 years to win a pennant, it’ll take them another 40 years to win another one.” Maybe Looie really meant 50 years…or 60….or 75?
And Bob Vanderberg’s book, Sox: From Lane and Fain to Zisk and Fisk, says:
Fearing a repeat of the case of Carrasquel, who had played indifferently in his last year in Chicago and whose career had not lasted nearly as long as everyone had anticipated, the Sox unloaded Looie to Baltimore in January 1963.
Aparicio immediately proclaimed that the White Sox would not win another pennant for another 40 years.
In October 2005, the Chicago Tribune’s Ed Sherman added:
Perhaps, though, it came down to the curse. No, not the one involving Joe Jackson and the Black Sox.
This curse came from one of the team’s favorite sons. Luis Aparicio was furious when the Sox traded him to Baltimore in 1963. The angry shortstop left with this parting shot: “The Sox will need 40 years to win the pennant again.”
It was the Looie Curse, and it was fulfilled: the Sox won their next pennant in 2005, 42 years later, and 46 years after their 1959 pennant.