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.