Houston Astros

MLB.com ranked Eshelman as the 99th best available prospect in the 2015 Major League Baseball draft, while Baseball America rated him 126th.^[2] The Houston Astros selected Eshelman in the second round, with the 46th overall pick, in the draft.^[6][7] Eshelman signed with the Astros, who assigned him to the Gulf Coast Astros of the Rookie-level Gulf Coast League to limit his workload for the remainder of the year, following the 130 innings Eshelman pitched for Cal State Fullerton in 2015.^[8] In August, the Astros promoted Eshelman to the Quad Cities River Bandits of the Class A Midwest League.^[9] He pitched in only four games as a professional in 2015.^[10] Eshelman went a combined 0–1 with a 4.35 ERA between both clubs.

Philadelphia Phillies

The Astros traded Eshelman, Mark Appel, Vince Velasquez, Brett Oberholtzer, and Harold Arauz to the Philadelphia Phillies for Ken Giles and Jonathan Araúz on December 12, 2015.^[11] He spent the 2016 season with the Clearwater Threshers of the Class A-Advanced Florida State League^[12] and the Reading Fightin Phils of the Class AA Eastern League, where he posted a 9–7 record with a 4.25 ERA, along with a 0.97 WHIP, between both clubs.^[13]

Eshelman began the 2017 season with Reading, and earned a promotion to the Lehigh Valley IronPigs of the Class AAA International League in May.^[14] He posted a combined 13–3 record with a 2.40 ERA between both teams. The 2018 season found him once again on the IronPigs’ roster. The season was mostly a disappointment, with Eshelman going 2–13, with a 5.84 ERA in 27 games (26 of them as a starter).^{[citation needed]}

Eshelman began the 2019 season in with Reading but was promoted back to Lehigh Valley after six starts with the team, going 0–3 with a 6.28 ERA.^{[citation needed]}

Baltimore Orioles

The Phillies traded Eshelman to the Baltimore Orioles for international bonus allocations on June 10, 2019. Eshelman had posted a 1–1 record with a 2.77 ERA, 23 strikeouts, and a complete game for Lehigh Valley at the time of the trade.^[15]

After making three starts for the Norfolk Tides of the International League, the Orioles promoted to the major leagues to start against the Tampa Bay Rays on July 1.^[16] In his debut, he allowed two runs over five innings pitched.^[17] On September 2, Eshelman was designated for assignment.^[18]

On July 31, 2020, Eshelman was selected to the active roster. In 2020 for the Orioles, Eshelman pitched in 34.2 innings over 12 games, notching a 3–1 record, 3.89 ERA and 16 strikeouts.^[19] On November 25, 2020, Eshelman was designated for assignment.^[20] He elected free agency on December 3.^[21]

On January 16, 2021, Eshelman re-signed with the Orioles organization on a minor league contract.^[22] The Orioles added Eshelman to their active roster on June 18,^[23] and designated him for assignment on August 1.^[24] On August 3, Eshelman cleared waivers and was assigned outright to Triple-A Norfolk.^[25] On September 19, the Orioles selected Eshelman's contract.^[26] Eshelman made 9 appearances for the Orioles in 2021, going 0–3 with a 7.16 ERA and 11 strikeouts. On October 25, Eshelman elected free agency.^[27]

San Diego Padres

On March 21, 2022, Eshelman signed a minor league deal with the San Diego Padres.^[28] He was released on October 16, 2022.