Quint was drafted 30th overall by Winnipeg in the 1994 NHL Entry Draft As a rookie in the 1995–96 season, by scoring two goals in a four-second span, he tied an NHL record originally set by Nels Stewart of the Montreal Maroons in 1931. The next season the Jets became the Phoenix Coyotes and Quint remained with Phoenix until he was traded to the New Jersey Devils on March 7, 2000 for Lyle Odelein. Quint would only play four regular season games for the Devils before being traded to the expansion Columbus Blue Jackets on June 23 the same year where he stayed for two seasons leading the Blue Jackets in minutes played per game. For the 2002–03 season, Quint rejoined the Coyotes for a second campaign and he later joined the Chicago Blackhawks the next season.
During the NHL lockout, which resulted in the 2004–05 season being cancelled, Quint played for Bolzano HC in Italy. Quint has since played for Kloten in Switzerland.
In 2005, he joined Eisbären Berlin of Germany's Deutsche Eishockey Liga and led them to 3 league championships in 4 seasons. At the end of the 2006–07 DEL season, he signed with the New York Islanders and returned to the NHL, playing five games and assisting them in making the playoffs. He returned to Eisbaren for the 2007–08 DEL season while becoming the DEL Defenseman of the Year in 2008 and leading the Bears to another league championship. Quint lead all scoring for defenseman during the 08-09 season, while setting a franchise record of playing in 237 consecutive games and winning a 3rd DEL Championship. Quint was a DEL All-Star defenseman for three seasons.
After four years, he left Germany and signed with HC Neftekhimik Nizhnekamsk team of the predominantly Russian Kontinental Hockey League. In 2010, he signed with Traktor Chelyabinsk. He set a record for most goals scored by a KHL defenseman in 2010–11 and was selected to the KHL West All-Star team in the 2012–13 season.
On May 1, 2013 he signed a two-year contract with HC Spartak Moscow. On January 15, 2014 due to Spartak's financial woes, he was traded to CSKA Moscow together with Jeff Glass for a monetary compensation. On May 6, 2014, Quint opted to return to his past successes in the KHL, by signing with Traktor Chelyabinsk.
Quint would play for Traktor Chelyabinsk in the 416 (the most by any North American) games and scored 189 (75 + 114) points. Deron was a two-time participant in the KHL All-Star Game in 2013, 2014, the top scorer among defenders in the league in 2011, 2014, and winner of the League in 2012, a silver and bronze medalist of the KHL in 2012, 2013.
During the 2015–16 season, Quint was captain of Traktor. He made history on February 16, 2016 in the away match against Metallurg Magnitogorsk in which spent eight minutes on the ice and was marked by a goal pass. The American defender of black and white became the oldest hockey player in the history of Traktor Chelyabinsk,who played in an official match. At the time of the game Quint was 39 years 11 months and 4 days. In 52 games this season American guard scored 11 points.
After leaving the KHL in off-season, Quint opted to continue his veteran career in agreeing to return to Germany, signing a one-year deal with reigning champions, EHC München on June 9, 2016.1994–95 WHL West First All-Star Team
2006, 2007, 2008 DEL All-Star Team
2008 DEL Defenseman of the Year
2012–13 Traktor Chelyabinsk.
2011–12 Traktor Chelyabinsk.
2013 KHL West All-Star Team
2014 KHL East All-Star Team