Suter played high schoolbaseball at Archbishop Moeller High School in Cincinnati, Ohio, and college baseball at Harvard University. In 2011, he played collegiate summer baseball with the Wareham Gatemen of the Cape Cod Baseball League. He was drafted by the Milwaukee Brewers in the 31st round of the 2012 Major League Baseball Draft. After signing, Suter made his professional debut with the Helena Brewers where he was 4-2 with a 3.92 ERA in 12 games. He also played in three games for the Wisconsin Timber Rattlers at the end of the season. He began 2013 with Wisconsin, and after posting a 1.80 ERA in three starts, he was promoted to the Brevard County Manatees and finished the season there, going 7-9 with a 3.63 ERA in 21 games. In 2014, he pitched for the Huntsville Stars where he was 10-10 with a 3.96 ERA in 28 games, and in 2015, he played with both the Biloxi Shuckers and the Colorado Springs Sky Sox, pitching to an 8-4 record and a 2.36 ERA in 26 games. He began 2016 with Colorado Springs. Suter was promoted to the major leagues on August 19, 2016. In 26 games for Colorado Springs prior to his promotion he was 6-6 with a 3.50 ERA. Suter made his MLB debut that night against the Seattle Mariners at Safeco Field. He spent the remainder of the season with Milwaukee, compiling a 2-2 record with a 3.32 ERA in 14 games. Suter spent 2017 with both Colorado Springs and Milwaukee. In ten games for the Sky Sox he was 3-1 with a 4.42 ERA, and in 22 games for Milwaukee, he was 3-2 with a 3.42 ERA. Suter began 2018 with Milwaukee. On May 8, 2018, against the Cleveland Indians, he hit his first career home run off of Corey Kluber that went 433 feet to center field. On July 31, 2018, Suter underwent Tommy John surgery on his left elbow, ending his 2018 season prematurely. Suter began the 2019 season on the injured list as he continued to recover from his Tommy John surgery. He was activated on September 1st and allowed just one run in 18.1 innings in relief and was named National League reliever of the month for September.
