Richardson, who spent three seasons as an assistant at the NHL level, led the Binghamton Senators to a fourth-place finish in the Eastern Conference last year. Binghamton went 44-24-1-7 before being swept out of the playoffs in the first round.
The 44-year-old jumped almost immediately from his career as a defenceman to life in coaching. He played 1,417 games over 20 seasons before retiring in November 2008.
Assistants Steve Stirling and Matt Meacham also received one-year extensions.
It was definitely emotional. I really appreciated the fans. It was a cool feeling and it felt special and the ovation there at the start and then you kind of feel funny out there standing by yourself. Thinking back, I was saying just a bit ago, you think back just trying to make the NHL and then you kind of reflect on all the years being able to play for a great organization here in Calgary and all the fun I've had so far in my career. I feel very fortunate and blessed.
— Boston forward Jarome Iginla on his return to Calgary, where he played for 16 seasons