Hugo Sanchez had a leg up on any coach angling for the job of coaching Mexico. Not only was he Somebody, he was Mexico's most famous Somebody, the player who was the best ever from that country.
Admit it, there's a glamor attached to such people. They thrilled fans on the field, so people look to them to do it again from the sideline. Somehow, we imagine it to be part of the natural order of things - great player can equal great coach. Many times, it doesn't always work out that way, but what is clearly evident is that famous ex-players often get chance after chance that nobodies (who may be VERY good coaches) will never get.
Frankly, that's how Jurgen Klinsman got the job for Germany. It's not like Ruud Gullit has done a lot of coaching, either.
It may be that the admiration people have felt for so long for Hugo Sanchez may carry him through his latest tribulations. But no question, if he was Juan Sanchez, or basically any other Mexican coach, he'd probably be toast.