"Some have said they want a Mexican coach but that is just a recommendation," De Maria told reporters.
"The names which are part of the list is a private matter," he added.
Former Germany coach Juergen Klinsmann is among the coaches who have been linked with the job.
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Others include Americo Gallego, a midfielder in Argentina's 1978 World Cup winning team, who has won domestic titles as a coach in both his homeland and Mexico.
The outspoken Sanchez, however, remains the favourite.
The post has been vacant since Ricardo La Volpe's contract ended at the World Cup where Mexico reached the second round before losing 2-1 to Argentina.
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