Qunicey was again assigned to the Griffins the following season. As a late call-up, he scored his first NHL goal in the last game of the Red Wings' 2006–07 regular season in a 7–2 win over the Chicago Blackhawks on April 7, 2007. He scored in the second period against Patrick Lalime, which turned out to be the final Red Wing goal of the regular season. After injuries to defencemen Niklas Kronwall and Mathieu Schneider, Quincey was thrust into play just as the playoffs had begun. He first played in Game 6, an overtime victory for Detroit against the Calgary Flames that enabled the Wings to move on to the second round to play the San Jose Sharks. After dispatching San Jose, the Red Wings eventually lost to the Anaheim Ducks in six games in the Western Conference Final.