2009-10: Connor Carrick skated for the Chicago Fury midget program in Illinois. In 22 games with the Fury midget major team he scored 2 goals with 4 assists and had 2 penalty minutes. He played 37 games with the Fury's midget minor team; scoring 7 goals with 15 assists and 48 penalty minutes. Carrick attended the United States National Team Development Program camp in the spring and committed to playing college hockey at the University of Michigan in 2012-13. Carrick was selected by Guelph in the 11th round (212th overall) of the 2012 OHL Priority Draft.
2010-11: Carrick moved to Ann Arbor to skate for the US NTDP's U17 squad. In 55 games he scored 4 goals with 16 assists and had 50 penalty minutes. He represented the United States in three tournaments – the 2010 U17 Four Nations Cup, the 2011 World U17 Hockey Challenge in Canada, and the 2011 U18 Vlad Dzurilla Tournament in Slovakia. He had one assist as the USA finished first in the Four Nations Cup, had 2 goals and 5 assists in six games for the second-place USA squad at the WHC and had 1 assist in three games as the US U17 team won the U18 Vlad Dzurilla tournament.
2011-12: Carrick skated in 57 games for the US NTDP's Under-18 team in his second season in Ann Arbor. He scored 8 goals with 13 assists and had 46 penalty minutes. In six games for the gold medal-winning USA at the U18 WJC he scored 2 goals with 2 assists and was plus-four. Plymouth obtained the OHL rights to Carrick in a June 2012 trade with Guelph and he committed to playing with the Whalers rather than playing college hockey . Ranked 124th amongst North American skaters in Central Scouting's final rankings prior to the 2012 NHL Draft, he was selected by Washington in the fifth round (137th overall).