Calvert is also noted for scoring a natural short-handed hat-trick against the Calgary Hitmen in the 2010 WHL Eastern Conference Finals.

[6] Calvert began the 2010–11 season with the Blue Jackets' American Hockey League (AHL) affiliate, the Springfield Falcons.

Calvert was later called up to Columbus on January 6, 2011, and made his NHL debut two days later in a 6–0 loss to the Anaheim Ducks.

The Blue Jackets would assign Calvert to Springfield for the duration of the 2011 NHL All-Star Break before bringing him back up when they resumed regular season play.

On July 1, 2018, as a free agent, Calvert left the Blue Jackets after eight seasons to sign a three-year, $8.4 million contract with the Colorado Avalanche.