Smith played in the Cape Cod League in the summer of 2017 for the Harwich Mariners, hitting .382/.478/.513/.991 with 3 home runs and 12 RBI.

[9] He played for the Staten Island Yankees following his signing, hitting .324/.450/.477/.927 with three home runs and 15 RBIs over 33 games.

Smith started the 2021 season with the Tampa Tarpons of Low-A Southeast and was promoted to the Hudson Valley Renegades of High-A East,[11] hitting a combined .324/.448/.641/1.089 with 9 home runs, 24 RBI, and 17 stolen bases.

[12] On July 29, 2021, the Yankees traded Smith, along with Glenn Otto, Ezequiel Durán, and Trevor Hauver, to the Texas Rangers in exchange for Joey Gallo and Joely Rodríguez.

[22] In 2023, Smith hit .185/.304/.328/.663[23] and won the World Series, though he did not make a plate appearance in the playoffs.