Marty began his pro career in the minors in 1989 with the Elizabethton Twins of the Appalachian League. After a season in rookie ball, Cordova moved up to Class A and spent the 1990 season with the Kenosha Twins of the Mid West League. Cordova would then go onto spend the next two seasons with the Visalia Oaks of the Advanced-A California League 1991-1992. After spending two years in Advanced-A, Cordova made the move up to Double-A. In 1993 Cordova joined the Nashville Xpress of the Southern League. In 1994, Cordova moved up to Class AAA and played the season for the Salt Lake Buzz of the Pacific Coast League. A promising and talented player, Marty was named the American League Rookie of the Year in 1995. He took the honor over, among others, Garret Anderson, Andy Pettitte, Troy Percival and Shawn Green, after hitting.277 with 24 home runs and 84 RBI for the Twins. His second season saw career-highs in batting average, RBI, runs and doubles. Marty had the potential to hit for average and power, but was often bothered by back injuries over his career. Between 1997 and 2000, he missed 240 games while on the injured list. In January 2000, the Boston Red Sox signed Cordova to a minor league contract after he became too pricey for the small-market Twins, especially considering his history of injuries. The 30-year-old asked for his release from the Red Sox before the season even began, clearing the way for him to eventually sign with the Toronto Blue Jays. He returned in good form with the Indians in 2001, hitting.301 with 20 home runs, and in 2002, with the Orioles, he belted 18 homers. Marty appeared in just nine games in 2003 and missed all of 2004 and after two operations on his right elbow. In January 2005, Cordova signed a minor league contract with the Tampa Bay Devil Rays. He retired a day after he was scheduled to report to spring training. In a nine-season career, Cordova was a.274 hitter with 122 home runs and 540 RBI in 952 games. He is also known for having fallen asleep in a tanning bed, which prevented him from playing several day games with the Orioles.
Post-baseball life
Marty is a personal friend of UFC President Dana White and can be seen in several of White's video blogs. He was shown on Dana White's video blog trying to enter Canada after he forgot his passport as he flew in Dana White's private jet. When asked about the incident White joked that Cordova had not realized Toronto was not in the United States. Cordova currently serves as the COO of , a digital media network focused around YouTube creators.