He made his debut for Juventus on 2 November 2022 as an 88th-minute substitute for Juan Cuadrado in a 2–1 UEFA Champions League loss against Paris Saint-Germain.
[13] He made his debut for the club four days later, coming on as a late substitute for Abdou Harroui in a 3–1 league defeat to Napoli.
[15][16] On 1 July 2024, Barrenechea signed for Premier League club Aston Villa on a permanent deal, as part of a double-transfer from Juventus, alongside Samuel Iling-Junior.
[17][20] On 30 August 2024, Barrenechea signed for La Liga club Valencia on a season-long loan.
[21] Barrenechea is a defensive midfielder, who has drawn comparisons to Paul Pogba and Steven Nzonzi due to his playing style.