Drew Coleman graduated from high school in 2001 in Henderson, Texas. Drew was a do-it-all player and became one of the best dual-threat QB's in East Texas, playing quarterback, wide receiver, running back, punt returner, kick returner, and defensive back as he led his team to a District championship his senior year. He received multiple awards while at Henderson including District MVP, All-East Texas, Rusk County, Texasplayer of the year, and All-State honors. Drew was also a standout basketball player in which he was named the District and All East-Texas Defensive MVP his junior and senior year. Along with Rickey Dudley, Drew is one of the most influential athletes to represent Henderson High School in its history.
Coleman was drafted in the 6th round of the 2006 NFL draft. As a rookie with the Jets in 2006, Coleman played in all 17 games as the Jets advanced to the playoffs for the first time in three years. He often played nickelback and developed into a solid special teams tackler. He had a key forced fumble against the New England Patriots in the first game of the season, and wound up starting four games at cornerback his rookie year. He was named the Jets Special teams player of the week for week 3 win at Buffalo. In 2007, he was a regular on special teams and later in the season was included in some defensive packages for the Jets, including getting his first interception against the Miami Dolphins on December 2, 2007, and forcing a fumble during a sack in the last game of the Jets' 2007 season on Kansas City Chiefs QB Brodie Croyle. Coleman racked up 22 tackles in 2009. He finished the 2010 season with 41 tackles, four sacks, five forced fumbles and one interception. Coleman made his first impact of the season by filling in for an injured Darrelle Revis against the New England Patriots in week 2. Coleman impressed greatly as he was part of a Jets defense that did not allow a touchdown in the second half of the game, which is where he made his biggest impact. In the next game against the Miami Dolphins, Coleman continued to make impact plays as he intercepted Chad Henne at the end of the game, preventing a comeback for the Dolphins. Against the Vikings the next week he would sack Brett Favre, and finish the game against the Vikings with 3 tackles and 1 sack. In week 6 he recorded 5 tackles in a win against the Denver Broncos. His most impressive game of the season came against the Pittsburgh Steelers in week 15. Coleman recorded 10 tackles, 2 sacks and 2 forced fumbles. On the Jets last regular season game, Coleman recorded 2 tackles and 1 sack.
Jacksonville Jaguars
Coleman signed a three-year contract with the Jacksonville Jaguars on July 29, 2011. Coleman played in all 16 games during the 2011 season however, he was released on May 3, 2012.
Coleman signed a one-year contract with the Detroit Lions on July 25, 2012. He was placed on injured reserve on August 16, 2012, and released from injured reserve on August 23.