He came through the youth ranks of
Brøndby, and was team captain during his youth team years. Norouzi made his senior debut in March 2012, and played 12 of 15 games in the second half of the 2011–12 Superliga season. He signed a season-long loan contract with
Vejle Boldklub in July 2013. He signed a one-year contract with Iranian club
Sepahan on 16 June 2016. However, due to Iranian military rules, he could not get the permission to play in the
Persian Gulf Pro League. On 7 August 2016, he ended his contract with Sepahan. He then played for
Næstved and
Helsingør. On 18 September 2024, he announced his retirement. ==International career==