Carrick's hockey career developed when he played in the 2005 Quebec International Pee-Wee Hockey Tournament with the Markham Waxers minor ice hockey team and major junior hockey for Brampton of the Ontario Hockey League. He is the second of four brothers to play in the OHL, joining Jake, Trevor and Josh; Trevor was chosen by the Carolina Hurricanes in the fourth round (No. 115) of the 2012 NHL Draft.
Sam Carrick was selected by the Toronto Maple Leafs in the fourth round (No. 144) of the 2010 NHL Draft and signed a three-year, entry-level contract with Toronto on April 1, 2012. He made his NHL debut for the Maple Leafs in a 3-2 win against the Chicago Blackhawks on Nov. 1, 2014 and scored his first NHL goal and was named the third star of the game against the Florida Panthers on March 26, 2015.