He spent seven seasons in the Cubs' minor league system, appearing in 135 games to compile a 40–37 record with a 4.08 ERA.

He next spent two years with the Chiba Lotte Marines of the Nippon Professional Baseball (NPB), before pitching for the National Police Agency team of the KBO Futures League in South Korea during his mandatory military service.

In the Futures League, Rhee compiled a 5–6 record in 18 appearances, posting a 3.83 ERA in 89+1⁄3 innings.

[1] On September 10, 2018, Rhee was picked #1 by the KT Wiz in the 2019 KBO Draft.

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