[2] On December 31, 2014, Tampa Bay recalled Nesterov from the Syracuse Crunch, the team's American Hockey League (AHL) affiliate.

[5] On April 18, 2015, Nestrov recorded his first NHL playoff assist in a Tampa Bay Lightning 5-1 win over the Detroit Red Wings.

[6] On October 16, 2015, the National Hockey League announced that it was suspending Nesterov for two games without pay for boarding Dallas Stars forward Curtis McKenzie.

[8] On January 26, 2017, the Lightning traded Nesterov to the Montreal Canadiens in exchange for Jonathan Racine and a 6th-round pick in the 2017 NHL Entry Draft.

[13] In his return to the NHL after three years, Nesterov made 38 appearances in the pandemic delayed 2020–21 season, registering just four assists from the blueline as the club missed the post-season.

As a free agent, Nesterov opted to return to his previous club HC CSKA Moscow of the KHL, agreeing to a one-year contract on July 20, 2021.

On July 18, 2016, Nesterov was added to team Russia's 2016 World Cup of Hockey roster as a replacement for Slava Voynov.