 " Crazy in Love " was released to radio in the United States on May 18 , 2003 under formats including <unk> , Top 40 , and Urban radios . The single was released first as a digital download to iTunes Stores in the United Kingdom and in the United States on May 20 , 2003 . Notably , the song was also fairly successful as a ringtone among cell phone users across America . The song was released as a CD single in Ireland and Switzerland on June 30 , 2003 and as a digital EP in Germany on the same date . " Crazy in Love " was released as a <unk> single in Germany on June 30 , 2003 and in Australia on July 15 , 2003 along with the song 's accompanying music video , exclusive to Australia . The song was issued on DVD and CD single in the United Kingdom on June 30 , 2003 . " Crazy in Love " was released as a digital EP in several European countries , including Austria , Belgium , Denmark , Finland , Italy , the Netherlands , Norway , and Sweden on July 8 , 2003 . This digital EP was also available in Canada and Ireland on July 8 , 2003 . On July 22 , 2003 , two remixes - one from Rockwilder and the other from Adam 12 - was serviced in the United States . 
