Roth made his MLB debut with the Chicago White Sox of the American League, when they purchased him from the Blues in August 1914. He was switched back to third base, but his playing time decreased in 1915 due to his poor defensive play and the acquisition of Eddie Murphy, resulting in the White Sox trading Roth with a player to be named later (later decided to be Larry Chappell), Ed Klepfer and $31,500 to the Cleveland Indians for Shoeless Joe Jackson in August 1915. Roth hit three home runs in the final week of the 1915 season to increase his season total to seven, one more than Rube Oldring.
Braggo struck out often, leading the American League in strikeouts in 1917, and finishing among the leaders four other times. However, he also drew decent numbers of walks for the times, with a lifetime .367 on-base percentage. He was several times among the stolen base leaders, finishing as high as second in the league in 1918. He led the league in hit-by-pitch in 1918 and was two other times among the leaders.
With the Indians seeking pitching, they traded Roth to the Philadelphia Athletics for Larry Gardner, Charlie Jamieson and Elmer Myers before the 1919 season. However, Roth's loud personality clashed with the reserved Connie Mack, so Mack traded Roth with Red Shannon to the Boston Red Sox for Jack Barry and Amos Strunk in June 1919.
Before the 1920 season, the Boston Red Sox traded Roth and Shannon to the Washington Senators for Eddie Foster, Harry Harper and Mike Menosky. Roth slumped with the Red Sox, and after the season, he was traded by the Senators to the New York Yankees for Duffy Lewis and George Mogridge.
Roth missed a substantial portion of the 1921 season with a knee injury. Before the 1922 season, Roth declared his knee fit for play, but the Yankees released him due to his knee injury, which did not respond to treatment.
Roth played for the Blues and St. Paul Saints, also of the American Association, in 1923. He surfaced again with the Hollywood Stars of the Pacific Coast League in 1928. 
Roth died in an automobile accident with a newspaper truck at the age of 44 in Chicago.