On 2 September 2017, after featuring sparingly, Iglesias joined UD Logroñés and was initially assigned to the B-team in Tercera División.[1] He started to feature for the first team in April 2018, becoming a regular starter afterwards and being converted to a right back; in January 2019, he renewed his contract until June 2021.[2]
Iglesias made his La Liga debut on 30 December 2020, starting in a 0–1 away loss against Atlético Madrid.[5] Ahead of the 2021–22 campaign, he was definitely promoted to Geta's main squad, and renewed his contract until 2026 on 19 August 2021.[6]
Iglesias scored his first professional goal on 18 September 2022, netting the opener in a 2–0 away win over CA Osasuna.[7]