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.
I downplayed the first one because I thought it's just a hockey game. We just want to win the game; it's against our rival and we want the two points. I downplayed it, but now having gone through the first one I look back and say, 'Geez, that was really cool.' I think as I've grown a bit older I've got a lot more appreciation for what we're allowed to do every day.
— Capitals forward Brooks Laich on the 2015 NHL Bridgestone Winter Classic, the second one of his career after 2011 in Pittsburgh