[5][6] Wolfram played for the Wareham Gatemen of the Cape Cod League during the summer of 2017, going 0–3 with a 4.19 ERA over 19+1⁄3 innings.
[9] Wolfram spent his professional debut season of 2018 with the AZL Rangers of the Rookie-level Arizona League, posting a 3.38 ERA with 10 strikeouts over 10+2⁄3 innings.
[10] He spent the 2019 season with the Hickory Crawdads of the Single-A South Atlantic League, going 5–3 with a 4.28 ERA and 73 strikeouts over 69+1⁄3 innings.
[11] Wolfram returned to Hickory for the 2021 season (which had moved classification to the High-A East level), posting a 2–3 record with a 4.21 ERA and 99 strikeouts over 66+1⁄3 innings.
Wolfram split the 2023 season between Frisco and the Round Rock Express of the Triple-A Pacific Coast League, going a combined 10–1 with a 3.90 ERA and 78 strikeouts over 62 +1⁄3innings.