In 2015, Strotman's freshman year at Saint Mary's, he pitched 34+2⁄3 innings, going 2–3 with an 8.57 ERA. As a sophomore in 2016, he pitched in 22 games (making three starts), compiling a 3–5 record with a 3.96 ERA. In 2017, his junior season, Strotman pitched to a 6–1 record and a 4.57 ERA over 18 games (seven starts), striking out 75 batters over 67 innings.[3]
He returned to the mound in 2019 with the Charlotte Stone Crabs of the High–AFlorida State League, pitching to an 0–2 record and a 5.06 ERA over 16 innings.[8] Strotman did not play in a game in 2020 due to the cancellation of the minor league season because of the COVID-19 pandemic.[9] On November 20, 2020, the Rays added Strotman to their 40-man roster to protect him from the Rule 5 draft.[10] To begin the 2021 season, he was assigned to the Durham Bulls of the Triple-A East.[11] Over 13 games (12 starts) with Durham, he posted a 7–2 record and a 3.39 ERA.[12]
Minnesota Twins
On July 22, 2021, Strotman was traded alongside Joe Ryan to the Minnesota Twins in exchange for Nelson Cruz and Calvin Faucher.[13] He was assigned to the St. Paul Saints of the Triple-A East.[14] Over 12 starts with St. Paul, Strotman went 3–3 with a 7.33 ERA and 42 strikeouts over 54 innings.[15]
Pitching for St. Paul in 2022, he was 3–2 with a 6.44 ERA in 39 relief appearances, in which he pitched 50.1 innings and struck out 58 batters.[16][17] On September 17, 2022, the Twins designated Strotman for assignment.[18]
Texas Rangers
On September 19, 2022, Strotman was claimed off waivers by the Texas Rangers.[19] Pitching for the Triple–A Round Rock Express in 2022, he was 1–0 in three relief appearances in which he pitched 2+1⁄3 innings, giving up one earned run.[17]
San Francisco Giants
On November 10, 2022, the San Francisco Giants claimed Strotman off waivers from the Texas Rangers.[18] On November 15, Strotman was designated for assignment by the Giants after they protected multiple prospects from the Rule 5 draft.[20] On November 18, he was non-tendered and became a free agent. Strotman re-signed with the Giants on a minor league contract the next day. He spent the entire 2023 season with the Triple–A Sacramento River Cats, making 32 appearances (13 starts) and posting a 5–7 record and 6.47 ERA with 96 strikeouts across 97+1⁄3 innings pitched. Strotman elected free agency following the season on November 6, 2023.[21]
Houston Astros
On January 29, 2024, Strotman signed a minor league contract with the Houston Astros.[22] He made 29 appearances split between the Double–A Corpus Christi Hooks and Triple–A Sugar Land Space Cowboys, accumulating a combined 3.58 ERA with 43 strikeouts across 37+2⁄3 innings pitched. On July 22, Strotman was released by the Astros organization.[23]