[5] As a junior in 2017, he batted .328 with 22 home runs and 65 RBIs[6] and was named the Missouri Valley Conference Player of the Year.

[13] When the summer league ended, Burger was invited to the White Sox alternate training site.

[20] On July 17, Burger hit his first career home run, a two-run shot off of Houston Astros pitcher Austin Pruitt.

[21][22] In 2022, Burger was added to the White Sox Opening Day roster and played third base for Yoán Moncada who was injured.

[23][24] Burger played in 21 games with a .239 average hitting two home runs and seven RBIs before he was sent back to Triple-A on May 9 when Moncada was activated.

The White Sox promoted him to the major leagues on April 5 when Eloy Jiménez went on the injured list.

[28] On August 1, 2023, the White Sox traded Burger to the Miami Marlins in exchange for pitching prospect Jake Eder.

[31] On December 11, 2024, the Marlins traded Burger to the Texas Rangers in exchange for prospects Echedry Vargas, Max Acosta, and Brayan Mendoza.

[32] Before the 2025 season began, Burger announced that he would change his uniform number to 21, as his daughter had been diagnosed with trisomy 21.