Franzua was signed by the Houston Astros on September 23, 2010.[3] He was a member of the Dominican Summer League Astros for three years from 2011 to 2013.[4] Franzua was released by the Astros organization on January 7, 2014.[5]
On March 7, 2018, Franzua signed a developmental player contract with the Hiroshima Toyo Carp, and was assigned uniform number 143.[8][9] He began the season with eight appearances in the Western League, posting a 2-1 record and a 2.57 earned-run average, then signed a controlled player contract with the team on May 20.[10][6] The contract contained a $100,000 (11,042,318yen) signing bonus and an annual salary of $80,000 (8,833,854 yen). His uniform number was changed to 97.[6] He recorded his first professional win on June 26 against the Yomiuri Giants, and in August, he had a 0.51 earned-run average in 18 appearances.[11][12] He also pitched in the 2018 Central League Climax Series and the 2018 Japan Series, ultimately ending his season with a 1.66 ERA with 81 strikeouts in 47 games. Franzua pitched in 67 contests for the Carp in 2019, compiling an 8-6 record and 2.76 ERA with 94 strikeouts and 12 saves across 83+2⁄3 innings pitched.
Franzua made 53 appearances for the Carp during the 2020 campaign, posting a 2-3 record and 2.45 ERA with 62 strikeouts and 19 saves across 55 innings pitched. In 2021, he made only 8 appearances for the main team, and struggled to a 1-2 record and 9.53 ERA with 5 strikeouts across 5+2⁄3 innings pitched. Franzua pitched in 3 game for Hiroshima in 2022, and again struggled to an 8.10 ERA with 4 strikeouts across 3+1⁄3 innings pitched.[13] He became a free agent following the season.
Franzua spent 2024 with the Triple-A Indianapolis Indians, registering a 5-6 record and 4.55 ERA with 80 strikeouts and 5 saves in 61+1⁄3 innings pitched across 48 games. Franzua elected free agency following the season on November 4, 2024.[15]