Today he is one of the young promises of the Club Deportivo Guadalajara. He's already captain of the Chivas sub-17 team. On April 23, 2011 he made his professional debut against Cruz Azul in a 1-1 draw. Jose Luis Real has described Alvarez as very talented, strong, great at marking and sweeping, having bravery and aggression to rush out and deal with any unexpected goal threats.
In the 2009 FIFA U-17 World Cup he was the captain on the Mexico national under-17 football team. Right-back Kristian Alvarez opened for Mexico with an amazing long-range lob. Diego De Buen scores a brilliant volley to also score in the 3-0 win over Canada. Kristian Alvarez scored twice to help Mexico beat Guatemala 3-0 and reach the 2009 U-17 World Cup.