After moving up through the academy system at Skoda Xanthi, Goutas made his first team debut on 28 October 2012, in a 0–0 away draw against Veria.
On 8 August 2017, Goutas joined Sint-Truiden on a 12-month loan transfer, playing for second consecutive year in Belgian First Division A.
[14] On 27 September 2020, he scored with a header in stoppage time, to give his team an important 2–2 away draw against OFI.
[17] On 29 August 2021, Goutas made his Süper Lig debut, scoring a brace to help his team seal a 2–2 home draw with Göztepe.
[18] On 5 February 2022, he scored the only goal in a devastating 5–1 away loss again Gaziantep[19] On 5 July 2023, after Goutas' contract with Sivasspor expired, he signed a two-year deal with Cardiff City.