The native of Ostervala, Sweden, has hockey in his genes. Lindstrom's uncle, Marcus Ragnarsson, a defenseman, played nine seasons in the NHL and his cousin, defenseman Jacob Ragnarsson, was selected by the New York Rangers in the third round (No. 70) of the 2018 NHL Draft and plays in Sweden.

That was one year after the Detroit Red Wings selected Lindstrom, also a defenseman, in the second round (No. 38) of the 2017 NHL Draft. He signed an entry-level contract May 25, 2018 but stayed another season in Sweden, where he helped Frolunda win the Swedish Hockey League championship.

Lindstrom came to North America in 2018 and showed a good first pass and solid defensive skills while playing 45 games for Grand Rapids of the American Hockey League. He made his NHL debut against the Buffalo Sabres on Feb. 6, 2020, and was credited with an assist against the Chicago Blackhawks exactly one month later, in his 14th game, for his first point.

Lindstrom had 25 points (two goals, 23 assists) in 128 games over four seasons with the Red Wings before he was traded to the Montreal Canadiens for defenseman Jeff Petry on Aug. 15, 2023.