For the 1980 NHL Entry Draft, the Montreal Canadiens held the first overall pick and many fans hoped the Canadiens would use it to draft Savard. Instead, the Canadiens drafted Doug Wickenheiser and Savard was chosen third overall by the Chicago Blackhawks. He was the highest drafted player in Blackhawks' history, until the organization drafted Patrick Kane with the first overall pick in 2007. He began his career during the 1980–81 NHL season in which he had three assists in his first game. He then went on to set the Blackhawks' record (since broken) for most points by a rookie with 75.