Latz attended Lemont High School in Lemont, Illinois.[1] Latz pitched to a 10–0 record with a 0.23 ERA and 114 strikeouts over 62+1⁄3 innings his senior season of high school and was named the 2014 Illinois Player of the Year.[2] He was drafted by the Toronto Blue Jays in the 11th round of the 2014 MLB draft, but turned down a $1 million signing bonus and attended Louisiana State University to play college baseball.[3][4] Latz was given a medical redshirt due to a stress reaction in his left elbow that caused him to miss the 2015 season.[5] He played for the DuPage County Hounds of the Midwest Collegiate League in 2015.[6] In 8+1⁄3 innings for the Tigers in 2016, he went 0–1 with a 7.56 ERA.[7] Latz transferred to Kent State University for the 2017 season and was forced to sit out the season due to transfer rules.[8][9] He was drafted the Texas Rangers in the 5th round of the 2017 MLB draft, and signed with them for a $386,100 signing bonus.[10][8]
On August 25, 2021, Texas selected his contract to the 40-man roster and promoted him to the major leagues to make his MLB debut that night against the Cleveland Indians. Due to 2021 MLB COVID-19 outbreak rules, his addition to the 40-man roster was temporary.[14] In his debut, he threw 4+2⁄3 innings while striking out 4 and suffering the loss.[15] He was returned to Round Rock and removed from the 40-man roster on August 30.[16] Latz spent the 2022 season back with Round Rock, going 5–5 with a 5.77 ERA, and 59 strikeouts over 53 innings.[17]
Latz returned to Round Rock to open the 2023 season.[18] In 46 appearances, he recorded a 4.10 ERA with 87 strikeouts and 7 saves in 63+2⁄3 innings of work.[19] On September 16, 2023, Texas selected Latz’s contract, adding him to the major league roster.[20]