The El Tri chief indicated that the national association had approached the German manager but 48-year-old decided against the taking opportunity.
Guillermo Cantu, the secretary general of the Mexican Football Federation, has indicated that the national governing body approached former Borussia Dortmund manager Jurgen Klopp to take over at El Tri, but the German coach turned the job down.
Klopp left Dortmund following a disappointing 2014-15 season in which the club missed out on qualification for Champions League football and has been heavily linked with the Liverpool manager's job, should Brendan Rodgers's time at Anfield come to an end.