The Real Sociedad forward will not play with his national in any competitions this summer as he searches for a new club.
Vela, who is wrapping up a fantastic season with Spanish club Real Sociedad, has declined an invitation to join El Tri on its quest for Olympic Gold and also turned down a roster spot for the nation's two World Cup qualifying games in June.
"Carlos Vela asked on a personal and professional level that he not be selected for any of the Mexican national teams," said Hector Gonzalez, the director of Mexico's national teams.
Vela joined Real Sociedad on loan from Arsenal last summer and has found success with the La Liga team. Real Sociedad has expressed its desire to buy Vela, but the price tag is too high. Vela has said he will not play for Arsenal again and is seeking a new club.
"[Vela] told us that he does not want to play for Arsenal and he will go to a different club," Gonzalez said. "He asked [not to be called up] so he can play the preseason and meet his new manager at his new club, because it is almost sure he will not continue on at Real Sociedad."
Vela has had perhaps the best season of any Mexican player abroad, recording a team-high 12 goals and seven assists in 34 league games. Last season it was Chicharito who shined most overseas, but the Manchester United striker has since seen his playing time decrease this campaign.
"His form last season was fantastic. He’s found the second year more difficult, but a lot of that is down to not having a summer break for three years and playing every summer for his country," Sir Alex told the club’s official website.
"Next year he will be fine as we have agreed with the Mexican Football Association that he is going to get the requisite rest that he needs to perform in the Premier League."
Mexico will be grouped with South Korea, Gabon and Switzerland at the Olympics. El Tri opens its Olympic schedule against South Korea in Newcastle on July 26.