[3][2] In 2017, he started the season with Tennessee and was elevated to the Triple-A Iowa Cubs, where his combined record was 13–4 with a 2.54 ERA.
[7][8] Tseng had a rough start, however, dropping a relay throw from Anthony Rizzo to field a ground ball.
[13] On April 17, 2019, Tseng signed a minor league contract with the Texas Rangers organization.
[16] On July 1, 2021, Tseng announced that he would enter the mid-season draft in the Chinese Professional Baseball League (CPBL).
He was second in the event in strikeouts (four behind Shintaro Fujinami), led in wins and tied Jae-min Shim for the most appearances (6).
[19][20] Jen-Ho then was the only high schooler picked for Taiwan's squad in the 2013 World Baseball Classic Qualifiers, 3 1/2 years younger than Yao-Lin Wang, the next-youngest).
Relieving Kai-Wen Cheng with a 7–0 lead in the 7th, he retired Moko Moanaroa then walked Beau Bishop.
Tseng recovered to fan two players with minor league experience in the Alan Schoenberger and Tim Auty, to end the inning.