Round One: 12th overall\
Round Two:45th overall
Round Three: 77th overall
Round Three (via Edmonton): 84th overall\\
Round Five:141st overall
Round Six:173rd overall
Round Seven: 205th overall
* The Flames technically hold the 13th overall position in the opening round but will select 12th due to Arizona forfeiting their first round pick for violating NHL Combine testing policy during the 2019-20 season
\\ The Flames acquired the Oilers' third round pick in the trade that involved the acquisition of Milan Lucic in exchange for James Neal*
The 2021 NHL Draft will take place virtually July 23-24.