[3] He signed a contract with the Rangers on March 22, and signed an amateur tryout (ATO) contract with their American Hockey League (AHL) affiliate, the Hartford Wolf Pack on March 23, forgoing his junior and senior years of collegiate play with the University of Minnesota.

[4][5] After spending the first half of the 2018–19 season with the Wolf Pack, he was called up by the Rangers for their January 15, 2019, game against the Carolina Hurricanes.

[8] During the 2022–23 season, in 63 games played, Lindgren has recorded a career-high in assists (17) and points (18), while tallying a team-high plus-29 rating.

[9] On July 30, 2024, the Rangers re-signed Lindgren to a one-year, $4.5 million contract extension to avoid salary arbitration.

He began his international career as the United States captain at the 2015 World U-17 Hockey Challenge, where he recorded one assist in six games as his team lost in quarterfinals.