2008-09: Peter Quenneville had 47 points in 32 bantam AAA games skating for MLAC in Alberta. He was selected by Prince George in the fourth round (69th overall) of the 2009 WHL Bantam Draft.
2009-10: Quenneville played for the MLAC Maple Leafs in the Alberta Midget Hockey League. He scored 13 goals with 11 assists and had 10 penalty minutes in 33 games. The Maple Leafs missed the playoffs – finishing last in the Dodge Division.
2010-11: Quenneville skated for the Sherwood Park Crusaders in the Alberta Junior Hockey League as a 16-year-old. He scored 6 goals with 16 assists and had 8 penalty minutes in 54 games. Sherwood Park finished sixth in the North Division and lost in the first round of the playoffs. Quenneville had no points nor penalty minutes in three playoff games.
2011-12: Quenneville was the leading scorer for Sherwood Park in his second AJHL season and represented Canada West in the 2011 U19 World Junior A Challenge. He scored 31 goals with 50 assists and had 22 penalty minutes in 53 games. Sherwood Park finished fourth in the North Division and advanced to the second round in the playoffs. Quenneville scored 4 goals with 4 assists and 10 penalty minutes in 10 playoff games. He was selected by Dubuque in the first round (13th overall) of the 2012 USHL Entry Draft.
2012-13: Quenneville was the second-leading scorer for Dubuque in his first USHL season as the Fighting Saints finished first in the Eastern Conference and captured the Clark Cup. He scored 33 goals with 37 assists and was +29 with 18 penalty minutes in 63 games. Dubuque lost just 11 of 64 games in the regular season and was 9-2 in the playoffs. Quenneville scored 6 goals with 3 assists and was +4 with 2 penalty minutes in nine playoff games. He was selected to play in the USHL/NHL Top Prospects Game and was named to the USHL's second all-star team. Quenneville was ranked 130th amongst North American skaters in Central Scouting's final rankings in his second year of draft eligibility and was selected by Columbus in the seventh round (195th overall) in the 2013 NHL Draft.
Quenneville has good hands and has turned heads with his offensive agility. The 19-year-old even made highlights after pulling a flashy toe-drag against the Green Bay Gamblers.
Quenneville left Quinnipiac early in the 2013-14 season to play for the Brandon Wheat Kings of the WHL.