Starting his youth career at Inter Milan, Turati moved to Serie C side Renate in 2017 where he played both in the youth team and as a third-choice goalkeeper in the senior team.[1] Without making his first team debut, Turati moved to Serie A side Sassuolo the following year, where he played as the main goalkeeper in the youth team.[1] On 1 December 2019, aged 18, Turati made his professional debut against Juventus in the league, in a 2–2 draw away from home.[2].