Originally drafted by the Orlando Magic in 2005, Vázquez decided to remain in the Spanish ACB League rather than enter the National Basketball Association (NBA).

He made headlines when he announced that he would remain playing in the Spanish ACB League for at least the following season, after signing for Akasvayu Girona.

[5] On 17 April 2016, in a game against MoraBanc Andorra, Vázquez became the top shot-blocker in Liga ACB history, after surpassing the record of 671 blocks made by Fernando Romay.

[9] On 6 July 2024, the Orlando Magic finally renounced his draft rights to clear room under the salary cap.

[10] Vázquez played with the senior men's Spain national team at the EuroBasket 2005 and the 2010 FIBA World Championship.