He did not issue a walk and faced the minimum 27 batters because he picked off the only baserunner of the game (reached on an error).

He was 11–8 with a 2.91 ERA and 110 strikeouts with South Bend before earning a promotion to the High-A Lancaster JetHawks of the California League in August, the last month of the season.

His stay at El Paso was a short one, with only 6 games started and going 2–2 with a 3.50 ERA before being called up early May to the Triple-A Tucson Sidewinders.

He was selected to participate in the All-Star Futures Game on July 13 in Chicago, working a scoreless frame for the World Team.

González was promoted on June 1, 2003, to face the San Diego Padres at Qualcomm Stadium.

He picked up his first major league win, pitching 5.2 innings allowing 10 hits for 3 runs and striking out 4.

After a rough 2004 in MLB and spending almost the complete 2005 season in the minors, Edgar stated his case for a spot in the rotation for the next year.

After Juan Cruz was activated from the disabled list, González was moved to the bullpen where he struggled to adapt and was demoted to Tucson on July 19 to continue to pitch as a starter.

After Randy Johnson was activated from the disabled list, he lost his job to Micah Owings in a tight race.

Eddy González began the 2008 season in the bullpen, but was moved into the starting rotation when starter Doug Davis was diagnosed with thyroid cancer.

On February 9, 2009, González signed a minor league contract that included an invitation to spring training with the Oakland Athletics.

On August 20, 2010, González signed a minor league contract with the Los Angeles Dodgers.

He was subsequently assigned to the Triple-A Albuquerque Isotopes, for whom he made four starts and posted a 1–1 record and 4.81 ERA with 29 strikeouts.

On March 2, 2011, González signed a minor league contract with the Tampa Bay Rays.

[3] He was released by the organization on June 6, after recording a 4.56 ERA with 54 strikeouts in 53+1⁄3 innings with the Triple-A Durham Bulls.

[8] On November 3, 2011, Gonzalez signed a minor league contract with the Oakland Athletics organization.

In 15 games (7 starts) for Colorado Springs, he compiled a 3-3 record and 5.40 ERA with 40 strikeouts across 46+2⁄3 innings pitched.

[19] On May 11, González cleared waivers and elected free agency rather than accept an assignment back to Buffalo.

On September 7, González was removed from the 40-man roster and sent outright to the Double-A Corpus Christi Hooks.

On January 20, 2014, González signed a minor league contract with the Cincinnati Reds organization.

González did not play in a game in 2020 due to the cancellation of the Mexican League season because of the COVID-19 pandemic.

[27] González pitched in 20 games for Saltillo, starting 13 and posting a 1–4 record and 6.75 ERA with 43 strikeouts in 58+2⁄3 innings of work.