He spent most of his playing career with the Toronto Blue Jays and was part of their World Series winning teams in 1992 and 1993.

Guzmán was originally signed by the Los Angeles Dodgers as an amateur free agent in 1985.

On July 31, 1998, the Jays traded him to the Baltimore Orioles for Shannon Carter and Nerio Rodriguez.

On July 31, 1999, Guzmán and cash were traded to the Cincinnati Reds for B. J. Ryan and Jacobo Sequea.

[1] He signed as a free agent with the Tampa Bay Devil Rays in 2000 and pitched one game, which resulted in giving up eight runs in 1.2 innings.