2009-10: Kurt Etchegary was a captain of the St. John's Caps bantam team in Newfoundland.
2010-11: Etchegary joined the powerful Lac St. Louis Lions team in Quebec Midget AAA hockey. The Lions won the regular season and playoff titles in Quebec and captured a bronze medal at the 2011 Telus Cup. Etchegary was an assistant captain for the Lions. He scored 21 goals with 35 assists and had 58 penalty minutes in 41 regular season games. In 12 playoff games he scored 5 goals with 8 assists and had 18 penalty minutes. In the Telus Cup the Lions lost in double overtime to the eventual champion Winnipeg Thrashers in the semifinals before defeating Vancouver for the bronze medal. Etchegary scored 3 goals with 5 assists in seven games and had 20 penalty minutes. He was selected by the Quebec Remparts in the second round (24th overall) of the 2011 QMJHL Entry Draft and by Dubuque in the 18th round (268th overall) of the 2011 USHL Entry Draft.
2011-12: Etchegary chose to play major junior hockey in Canada — making his debut with Quebec as a 16-year-old. He scored 5 goals with 9 assists and was -10 with 34 penalty minutes in 61 games for the Remparts. Quebec finished third in the East Division and reached the second round in the playoffs. Etchegary scored 1 goal with 1 assist and was an even plus/minus with 6 penalty minutes in 11 playoff games.
2012-13: Etchegary skated in 31 games for the Remparts in his second season — missing three months following surgery for a hip injury at the end of October. He got off to a fast start for Quebec, scoring 3 goals with 4 assists in 13 games before suffering the injury and played well after returning in February. He finished the season with 9 goals and 16 assists and was +10 with 56 penalty minutes. The Remparts were third in the East Division and reached the second round in the playoffs. In 10 playoff games Etchegary scored 2 goals with 6 assists and was -1 with 6 penalty minutes. He was ranked 72nd amongst North American skaters in Central Scouting's final rankings prior to the 2013 NHL Draft.
Johnny Hustle on the ice, Etchegary isn't afraid of getting his nose dirty and working hard in the corners and along the boards. Though not particularly large, he makes up for it with his hard work at both ends of the sheet. A playmaker with a heavy wrist shot, Etchegary can operate as a bit of a defensive stopgap between two more offensively minded players or as someone who does the dirty work to win a puck battle and set up a linemate. Not the strongest skater, his abilities at both ends of the ice are limited at times because of his lack of mobility.