The attacker completed his permanent transfer from Arsenal this week, ending a drawn out negotiation that terminated his link with the London club.
Vela was informed of his future call-up to the Olympic Games by the FMF, which provoked the player to ask that he not be considered due to the nature of his club situation.
However, the former Arsenal player has said that he did not refuse to wear the traditionally green garb due to a lack of desire to play for Mexico.
"To represent your country is always very nice," said Vela. "Obviously, with what's been going on, a lot of people have been saying things that aren't true."
The player admitted to a meeting with federation officials that shed light on what he was trying to achieve, as both the club and Vela wanted to make the Mexican's loan move permanent.
"I asked [the federation] to understand my situation, I'm at an important moment in my career and perhaps if I didn't stay here I wouldn't have achieved what I did, staying at a club like Real Sociedad where I can get to my best form," Vela explained.
On the prospect of further national team duty, the 23-year-old told Mundo Deportivo that he harbors a wish to be "the future" of El Tri.
"I'm at my country's disposition," Vela told the Spanish website.
Despite the long negotiation to obtain Vela, Real Sociedad president Jokin Aperribay clarified that this could not be considered the end of the player's run with Arsenal.
"They hold an option to re-purchase him that they can execute at the end of the 2013/14 season."
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