In South Korea, Crazy in Love debuted at number two on the Gaon Album Chart in the chart issue dated September 19–25, 2021.The album debuted at number four on the Gaon Monthly album chart with 335,610 copies sold, becoming Itzy’s highest-selling album. By October, the album surpassed 487,607 copies sold. In November 2021, Crazy in Love was certified platinum by the Korea Music Content Association for selling over 250,000 copies.
In the United States, the album debuted at number 11 on the Billboard 200 and at number one on the Top Album Sales chart with 22,000 sales, of which CD sales comprised 21,000 and 1,000 were via digital download. This was the group’s second and highest-charting entry on the Billboard 200 after Guess Who earlier in the year and marked their first leader on the Top Album Sales chart. The album debuted at number one on Billboard‘s World Albums and Independent Albums charts in the same week as well.
In Japan, the album debuted at position 8 on the Oricon Albums Chart in the chart issue dated October 11, 2021.The album also debuted at position 34 on Billboard Japan Hot Albums in the chart issue dated September 29, 2021.