Minnifield was redshirted in 2007. As a backup in 2008 and 2009, he had 53 tackles and four interceptions. During his first year as a starter in 2010, he had 48 tackles, six interceptions, and 0.5 sacks. Chase was ranked No. 2 in the ACC and No. 7 in the nation with six interceptions in the 2010 season and was selected as the "Jim Thorpe Defensive Back of the Week" Honor on two separate occasions his junior year. Chase acted as Virginia's main kick/punt return specialist from 2008 to 2010. In 2011, he was used less-frequently as a more "sure-handed" punt returner and was not used more often because of the risk of injury that comes from returning punts and Chase's value to the team. In twelve games of the 2011 season, Minnifield had 50 tackles, three interceptions, and 1.5 sacks. Chase's outstanding defense and senior leadership helped lead the Cavaliers to an 8-5 season and Virginia's first bowl game since 2007.
Prior to the 2012 NFL Draft, Minnifield was projected as third or fourth round pick. Although unselected, he was still viewed as one of the best undrafted rookies and received offers from five different NFL teams after the draft. Minnifield, with encouragement from his father, signed with the Washington Redskins on April 29, 2012 as an undrafted free agent. Still recovering from microfracture surgery, it was reported that he was placed on the physically unable to perform list before the start of training camp on July 18, 2012. On July 24, 2012, Minnifield was waived-injured by the team after tearing his anterior cruciate ligament. Due to not being claimed off waivers, he officially went to the team's injured reserve list. The Redskins waived Minnifield on August 31, 2013 for final roster cuts before the start of 2013 season, but expressed interest in bringing back on their practice squad. The next day he was signed to the team's practice squad. On November 29, he was signed to the team's active roster. The Redskins waived him on August 30, 2014 for final roster cuts before the start of the 2014 season. After clearing waivers, he was signed to the team's practice squad for the second time the following day. He was promoted to the active roster on September 22 after the Redskins placed DeAngelo Hall on injured reserve. After playing six games, the Redskins waived him on November 4 to make room for Leonard Hankerson on the active roster. The Redskins re-signed him to their practice squad two days later. He was promoted again to the active roster on November 26 after cornerback Tracy Porter was placed on injured reserve. On December 6, the Redskins placed him on injured reserve due to lingering symptoms from the concussion he suffered in Week 13 loss against the Indianapolis Colts. On December 16, the Redskins released Minnifield with an injury settlement.
