Driskel accepted an athletic scholarship to attend the University of Florida, where he played for coach Will Muschamp's Florida Gators football team. As a freshman, Driskel appeared in five games, completing 16 of 34 passes for 148 yards with two interceptions. He became the team's starter as a sophomore in 2012. He led them to an 11–2 record and a berth in the 2013 Sugar Bowl, in which Florida lost to the Louisville Cardinals. After starting three games in 2013, Driskel broke his right fibula in a game against Tennessee and missed the remainder of the season. He returned from the injury in 2014 and kept his starting job to start the season but was later benched in favor of Treon Harris.
Louisiana Tech
On January 3, 2015, Driskel was granted a release from Florida and he transferred to Louisiana Tech University. In his lone season at Louisiana Tech, he passed for 4,033 yards with 27 touchdowns.
College statistics
Baseball
Despite not playing baseball since high school, Driskel was selected by the Boston Red Sox with the 863rd pick of the 2013 Major League Baseball Draft. Driskel signed a contract, but he has no plans to stop playing football.
Professional career
San Francisco 49ers
Driskel was selected by the San Francisco 49ers in the sixth round of the 2016 NFL Draft with the 207th overall pick. The 49ers previously traded tight end Vernon Davis to the Denver Broncos in exchange for the pick used to select Driskel. On May 5, 2016, the 49ers signed him to a four-year, $2.45 million contract with a signing bonus of $112,539. Driskel began training camp as the No. 4 quarterback on the depth chart. After a season-ending injury to Thad Lewis, Driskel competed with Christian Ponder for the third-string quarterback position. On September 3, 2016, he was waived by the 49ers.
Cincinnati Bengals
Driskel was claimed off waivers by the Cincinnati Bengals on September 4, 2016. He began the season as the Bengals' third quarterback on their depth chart behind veterans Andy Dalton and AJ McCarron. On September 4, 2017, Driskel was placed on injured reserve. Driskel made his regular season NFL debut on October 21, 2018 in relief of Andy Dalton in the fourth quarter in the final minutes of a 45-10 loss to the Kansas City Chiefs, completing all four of his pass attempts for 39 yards. In Week 12, against the Cleveland Browns, Dalton was injured and out for the season with a thumb injury. Driskel came into the game in relief and threw his first professional touchdown to Tyler Boyd. In addition, he added a late rushing touchdown in the 35–20 loss. He started the last five games of the season for the Bengals. He went 1–4 and passed for 764 yards, five touchdowns, and two interceptions in the five starts. Driskel was placed on injured reserve on August 31, 2019. He was waived from injured reserve with an injury settlement on September 11.
On September 17, 2019, Driskel was signed by the Detroit Lions. On November 10, 2019, Driskel made his first start for the Lions against the Chicago Bears after Matthew Stafford was inactive due to injury. He finished the Week 10 contest with 269 passing yards, one touchdown, and one interception as the Lions lost 13–20. In Week 11 against the Dallas Cowboys, Driskel threw for 209 yards and two touchdowns and rushed for 51 yards and a touchdown in the 35–27 loss. After suffering a hamstring injury during a loss to the Washington Redskins, Driskel was placed on injured reserve on November 30, 2019.
Denver Broncos
On March 27, 2020, Driskel signed a two-year contract with the Denver Broncos.
