At the 2009 NFL Combine, Vasquez bench pressed 225 pounds 39 times. His 39 repetitions were the highest of any participant at the combine. Vasquez was drafted in the 3rd round (78th overall) by the San Diego Chargers.
During the Chargers' training camp, Vasquez competed for the right guard starting position with veteran Kynan Forney. Vasquez won the job, and Forney (who was dealing with a neck injury at the time) was later released from the team. Vasquez became the sole rookie in the starting lineup. Over the next three seasons, however, he played mostly at right tackle.
Vasquez was selected to be in the 2014 Pro Bowl after not allowing a single sack in 2013. He couldn't play due to the Broncos appearance in Super Bowl XLVIII. He was ranked #97 in the NFL Top 100 Players of 2014.