In 2011, Adleman played for the Single-A Delmarva Shorebirds, pitching to a 5–7 record and 6.01 ERA with 72 strikeouts in 28 games.

[2] After his release, Adleman signed with the Lincoln Saltdogs of the American Association of Independent Professional Baseball.

[6] In 2014, Adleman split the year between the Single-A Bakersfield Blaze and Double-A Pensacola Blue Wahoos, registering a cumulative 3–9 record and 3.72 ERA in 38 games.

[7] After recording a 2.38 ERA in 10 Triple-A games, Adleman was called up to make his major league debut on May 1, 2016.

In 2017, Adleman spent the entire season in the majors, aside from 1 game in Louisville, pitching to a 5–11 record and 5.52 ERA in 30 appearances.

On November 30, 2017, Adleman signed a one-year, $1.05 million contract with the Samsung Lions of the KBO League.

On April 11, 2019, Adleman signed with the Long Island Ducks of the Atlantic League of Professional Baseball.

On May 11, 2019, Adleman's contract was purchased by the Detroit Tigers and he was assigned to the Triple-A Toledo Mud Hens.