Iatroudis came through the youth system of Ergotelis, and made his senior debut against Panserraikos on the first matchday of the 2017–18 Greek Football Cup.

[1] He managed to impress during his first season with the club in the 2017–18 Greek Football League tournament, with 3 goals in 22 appearances, mostly as a substitute.

He added a third goal to his tally in the competition on the second matchday of the group stage, equalizing for his side during a tough 1–2 home loss against title holders PAOK.

[6] On 7 August 2020, after 15 years with Ergotelis, Iatroudis joined Super League giants AEK Athens on a four-year contract.

[7] On 2 October 2020, Iatroudis signed a long season contract with Volendam, on loan from AEK Athens.