Soderstrom was considered one of the top prospects for the 2020 Major League Baseball draft.[8][9] He was selected 26th overall by the Oakland Athletics,[10] and signed with them for $3.3 million.[11] He did not play a minor league game in 2020 due to the cancellation of the minor league season caused by the pandemic.[12] To begin the 2021 season, he was assigned to the Stockton Ports of the Low-A West.[13] In June, Soderstrom was selected to play in the All-Star Futures Game at Coors Field.[14] After not playing in a game since July 23, he was placed on the injured list on August 16 with a back injury and missed the remainder of the season.[15] Over 57 games with Stockton, Soderstrom slashed .306/.390/.568 with 12 home runs, 49 RBIs, and twenty doubles.[16]
To open the 2023 season, Soderstrom was assigned to Las Vegas.[21] He was selected to represent the Athletics at the 2023 All-Star Futures Game.[22] In 69 games for Las Vegas, he batted .254/.303/.536 with 20 home runs and 59 RBI. On July 14, 2023, Soderstrom was selected to the 40-man roster and promoted to the major leagues for the first time.[23] In 45 games during his first big league season, Soderstrom hit .160.
Soderstrom was optioned to Triple–A Las Vegas to begin the 2024 season.[24] On May 10, he was recalled from Las Vegas and hit a home run in his first game back with Oakland.[25] Soderstrom finished 2024 with 9 home runs, 24 RBI, and an OPS+ of 114 at the major league level.[26]
In 2025, Soderstrom opened the season as the starting first baseman for Athletics. He had three two-homer games within the first 17 games of the season, becoming just the fifth player of all-time to do so. [27]