Márquez began his professional career on October 21, 2005, with a unanimous decision win over Noe Acosta.
On July 25, 2009, he also won the WBC USNBC title with a unanimous decision win against Juan Escuer.
After scoring two consecutive wins, he returned to the Flyweight division and faced WBA world champion Luis Concepción.
Márquez defeated Concepción by 11th round technical knock out to claim the title and become world champion at the age of 22.
Márquez participated in an International Boxing Federation title eliminator on June 14, 2014, but was dominated and knocked out in eleven rounds by McJoe Arroyo.