He is one of the first active MLB players to represent the Cuban national team in international competition.

[2] Before signing with the Red Sox, Moncada was a highly sought after Cuban free agent.

[3] On February 23, 2015, the Boston Red Sox reportedly agreed to terms with Moncada, for a signing bonus of $31.5 million.

[5] He made his professional debut with the Greenville Drive of the Class A South Atlantic League on May 18.

[10] On July 26, 2017, Moncada hit his first career major league home run off of Jake Arrieta of the Chicago Cubs.

In 2018, Moncada played 149 games, finishing with a .235 batting average, 32 doubles, 17 home runs, 61 RBI, and struck out an MLB-leading 217 times.

On May 9, Moncada was activated off the IL and made his season debut that day against the Cleveland Guardians, going 1–for–4.

The White Sox declined his team option for 2025 on November 1, making him a free agent.

Along with White Sox teammate Luis Robert Jr., he became the first active MLB player to play for the Cuban national team.