In December, 1992, Guzmán signed as a free agent with the Chicago Cubs. On April 6, 1993, in defeating the Atlanta Braves 1–0 at Wrigley Field, Guzmán had a no-hitter broken up by an Otis Nixon single with two out in the ninth—the only hit he would allow. The no-hitter would have been the first pitched by a Cub (and, in fact, the first the Cubs had been involved in) since Milt Pappas in 1972.
He remained with the Cubs for one more season pitching his final game on May 23, 1994. He was under contract through 1996, but injuries prevented him for making a comeback.
Since 2004, Guzmán has worked as a Spanish language radio broadcaster for the Rangers.[1] He also holds a charity golf tournament for Alzheimer patients each October.[2]