[2] After the regular season, he played for the Mesa Solar Sox of the Arizona Fall League where he batted .366 with nine home runs and 21 RBIs in 26 games.

[3][4] Velázquez reached the Triple-A level in 2022 with the Iowa Cubs, and was added to Chicago's active roster prior to a doubleheader on May 30.

[6] He played in 77 games for the Cubs in his rookie campaign, hitting .205/.286/.373 with 6 home runs, 26 RBI, and 5 stolen bases.

[8] The following day, he hit his first career grand slam, to give the Cubs an 8-7 lead against the Seattle Mariners, after they were previously down 7-0.

On August 10, 2023, Velazquez was called up to make his Royals debut, hitting a home run in his first plate appearance the next day.