[1] During the 2017–18 season, on February 17, 2018, Halverson made his NHL debut with the Rangers, stopping five shots and allowing one goal, in a 6–3 loss to the Ottawa Senators in relief of Henrik Lundqvist, who had been pulled from the game after allowing five goals on 27 shots.

[2] Following the conclusion of his entry-level contract, Halverson was not tendered a qualifying offer, releasing him as a free agent from the Rangers.

Leading into the 2019–20 season, Halverson continued in the ECHL, securing a contract with the Norfolk Admirals on October 4, 2019.

As a free agent, Halverson opted to continue in the ECHL, securing a contract with the Wheeling Nailers on November 27, 2020.

[4] Limited to just four games with the Nailers in the 2020–21 season, Halverson left the club as a free agent and agreed to join fellow ECHL outfit, the Florida Everblades, on September 4, 2021.