Career
Parlett played Major Junior Hockey in the Ontario Hockey League. Upon playing his overage season with Mississauga Saint Michael"s Majors, he was signed to an American Hockey League contract with the Hartford Wolf Pack for the 2010-2011 season. Parlett split his first professional season between the Wolf Pack/Whale and ECHL affiliate, the Greenville Road Warriors, earning a starting position in the 2011 ECHL All-Star Game.
He was signed to a two-year entry level contract by the Whale"s parent club, the New York Rangers on June 2, 2011.
During the 2012-2013 season with the Connecticut Whale, Parlett was included, along with Steven Delisle, in the deadline trade of Marian Gaborik by the Rangers to the Columbus Blue Jackets in exchange for Derick Brassard, Derek Dorsett, John Moore and a sixth-roud pick on April 3, 2013. Parlett was immediately reassigned to AHL affiliate, the Springfield Falcons.
On February 7, 2014, Parlett was traded to the Boston Bruins in exchange for Carter Camper. He was directly assigned to AHL affiliate, the Providence Bruins for the remainder of the season.
On July 2, 2014, Parlett signed a one-year, two-way contract with the Florida Panthers.
In the 2014-2015 campaign, Parlett was assigned an spent the duration of the season with AHL affiliate, the San Antonio Rampage. On June 10, 2015, apporaching free agency, and unable to break into the National Hockey League, it was announced that Parlett signed a contract with Croatian KHL club, Medveščak on a one-year deal.