Iacoponi made his professional debut for Empoli on 20 May 2007 in a 3–3 draw with Reggina.
On 11 February 2022, Iacoponi signed with Teramo until 30 June 2024.[1]
On 17 December 2022, after having been without a contract since July following Teramo's exclusion from Italian football, Iacoponi signed for Serie D club Roma City.[2]
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