He was a first-round selection, 24th overall, of the Flames in the 2004 NHL Entry Draft and played his entire professional career in the team's organization.

[1] Chucko was drafted after scoring 87 points in 53 games for the Salmon Arm Silverbacks of the British Columbia Hockey League.

He was later assigned to the Flames AHL farm club, the Omaha Ak-Sar-Ben Knights, where he made his professional debut.

Chucko was recalled by the Flames on March 5, 2009, and made his NHL debut that night against the Philadelphia Flyers.

[3] Chucko suffered another serious concussion in October 2010, exacerbating a neck injury and limiting him to just two games for the Heat in 2010–11.