Meza made 17 appearances (5 starts) for Quintana Roo in 2013, but struggled to a 1–2 record and 6.00 ERA with 33 strikeouts in 39 innings pitched.
Meza made 53 appearances for Yucatán in 2016, compiling a 4–2 record and 1.59 ERA with 51 strikeouts and a league–leading 24 holds in 51 innings of work.
In 31 appearances out of the bullpen, he posted a 3.26 ERA with 32 strikeouts across 30+1⁄3 innings pitched, and did not allow a single home run.
Returning to Saltillo, he made 61 appearances for the Saraperos in 2019, registering a 6–2 record and 3.53 ERA with 82 strikeouts and 6 saves across 58+2⁄3 innings pitched.
In 2023, Meza made 41 relief outings for Saltillo, recording a 2.70 ERA with 43 strikeouts across 36+2⁄3 innings pitched.