As a freshman, he did not register a catch in two games before sitting out the rest of the season with a back injury. The next season, 2008, he rebounded from a slow start to become one of the nation’s top receivers over the final month-and-a-half of the season. In 2009 Quick caught 61 passes for a team-best 982 yards for 16.1 yards-per-catch average. As a junior in 2010, Quick earned First-team All-America honors from Sporting News and was voted Second-team All-Southern Conference by the league’s coaches and media while leading ASU with 47 receptions, 844 receiving yards, nine touchdown catches and 18.0-yards-per-catch average. In his senior year, Quick recorded 71 receptions for 1,096 yards with 11 touchdowns. Sporting News named Quick to its Division I FCS All-America team as did the AFCA and he received Second-team accolades from the Associated Press and The Sports Network.
At the 2012 NFL Draft, Quick was selected in the second round, by the St. Louis Rams. He is the highest draft pick ever out of Appalachian State. In his rookie season, Quick got most of his playing time off of the bench, appearing in 15 games. By the conclusion of the season, he recorded 11 receptions for 156 yards and 2 touchdowns. On October 26, 2014 Quick sustained a torn Rotator cuff against the Kansas City Chiefs. On the season, Quick finished with 25 receptions on 39 targets for 375 yards and three touchdowns. On September 25, 2016, Quick became the first Los Angeles Ram to score a touchdown since Jermaine Ross on December 24, 1994, before the Rams' 20-year stay in St. Louis. On October 2, 2016, Quick scored on a 65-yard touchdown as well as another touchdown at the end zone against the Arizona Cardinals.
On March 24, 2017, Quick signed a one-year contract with the Washington Redskins. On March 14, 2018, Quick re-signed with them, but was released prior to the regular season on September 1, 2018. He re-signed with the team on September 11, following a season ending injury to Cam Sims. He was waived again on November 17, 2018 when Byron Marshall was activated from injured reserve. The Redskins re-signed Quick for a third time on March 18, 2019. He was waived during final roster cuts on August 31, 2019.
