 Garza has been an unsuccessful candidate for Boston City Council three times; 2003 and 2005 as an at-large candidate, and 2009 as a candidate for the District 1 seat.Garza was the 2006 SWP candidate for the United States House of Representatives in Massachusetts's 8th congressional district, which includes Cambridge, Chelsea, Somerville and about three quarters of Boston.She was the sole challenger to Democratic incumbent Mike Capuano, to whom she lost, receiving 12,390 votes, 9% of the total.