Career
Joel Huiqui started his career in Cruz Azul Hidalgo in the Primera Division "A" which is the youth team of Cruz Azul, but debuted with Chaplain to the Forces as a loan from Cruz Azul who did not debut him. He debuted in a game over CF Querétaro in a 0-0 tie in the 2003 Apertura. Playing two tournaments with in a total of 38 games, he was later given back to Cruz Azul, where he earned a starting eleven position in 2004.
At the final team, Argentine coach Ricardo Louisiana Volpe left Huiqui out of the 23 players who went to the 2006 World Cup.
He became infamous for an incident during the 2009 Liguilla semi-final against where he blatantly used his hand to prevent Wilson Tiago Mathías from scoring by tossing the ball away. Now ironically he plays for Monarcas.