In his homeland, Gómez was nicknamed El Divino Loco ("the Divine Madman"), on account of his willingness to pitch in tough situations and #22.

Gómez created some controversy when, on the order of Giants' manager Leo Durocher, he hit Brooklyn Dodgers player Carl Furillo with a pitch.

[2] After going 17–9 in his second season, Gómez pitched and won Game 3 of the 1954 World Series in the Giants sweep of the Cleveland Indians.

[3] When Gómez returned to Puerto Rico, he was greeted by thousands of fans at the San Juan airport and a holiday was declared.

One day a young boy begged Gómez to buy a lottery ticket that he was selling to make some badly needed money.

Gómez attempted to share the money with the boy's family and when they refused, he went to a local bank and set up a trust fund for the lad, to be given to him at age 18.

[4] In addition, his six victories in the Caribbean World Series ties him with José Bracho and Camilo Pascual for the most all-time wins in the tournament.

Baseball historians Bill James and Rob Neyer have ranked Gómez's screwball the tenth-best of all time.