Nesterov has reportedly signed a contract with CSKA Moskva of the KHL, Hailey Salvian of The Athletic reports.
Nesterov notched an assist and two hits in Monday's 2-1 loss to the Senators.
Nesterov agreed to terms on a one-year, $700,000 contract with Calgary on Friday, per PuckPedia.
Nesterov will decline offers to play in the NHL, instead opting to sign in the KHL, per agent Dan Milstein.
Nesterov will not receive a qualifying offer from the Canadiens, Elliotte Friedman of Hockey Night in Canada reports.
Nesterov posted an assist with a minor penalty and four hits in Friday's 4-2 loss against the Lightning.
Nesterov (undisclosed) has been cleared to return, but will be a healthy scratch against the Stars on Tuesday.
Nesterov (undisclosed) is listed as an injured scratch for Saturday's game against the Senators, NHL.com reports.
Nesterov didn't practice Thursday due to an undisclosed injury.
Nesterov scored Montreal's lone goal in Thursday's 3-1 loss to the Flyers.