In October 2009 Velazquez was granted free agency. He appeared in a total of six games with the Red Sox and did not record a hit. On January 15, 2010, Velazquez was re-signed by the Red Sox and again invited to spring training. He spent the entire 2010 season with Pawtucket, where he finished the season with a .249 average. Velazquez was signed by the Los Angeles Angels of Anaheim on January 14, 2011 to a minor league contract with an invite to spring training. He was assigned to the Angels AAA Pacific Coast League affiliate, the Salt Lake Bees, on April 6, 2011 There, Velazquez was named to the 2011 PCL All-Star team. Velazquez, a 31-year-old native of Los Angeles, appeared in 123 games for the Bees in 2011, hitting a team-high and career-high .328 with 25 doubles, five triples, eight home runs, 58 RBI and 17 stolen bases. The Angels recalled Velazquez on Tuesday, September 6, 2011, during September roster expansions. Velazquez, who plays second base, third base and shortstop, made his Angels debut on September 16, 2011, pinch hitting against the Baltimore Orioles. Velazquez appeared in 3 more games in 2011. He had three hits in six at-bats. After being granted free agency by the Angels' organization, Velazquez signed a minor league deal with the Miami Marlins, and was assigned to the AAA affiliate New Orleans Zephyrs. On August 16, Velazquez was called up to the major league team. The next day, he started in his first game for the Marlins. He finished the season batting .232 in 56 at-bats with 2 RBIs, no homers, one double and walk, in 19 games. He was outrighted off the Marlins roster on October 4, 2013 and elected free agency rather than accept a minor-league assignment. Velazquez played for Mexico at the 2013 World Baseball Classic. He then played for Águilas de Mexicali in the Mexican Pacific League and Leones de Yucatán in the Mexican League. In 2015, he retired from active duty to become a coach for the Arizona League Dodgers. The following year, he was named manager of the Great Lakes Loons, the Dodgers class-A affiliate in the Midwest League.