Born in Bilbao, Biscay, Gómez began his career with Santutxu FC in the Basque regional leagues, winning the Golden Ball for the category in February 2009.

[3] On 4 June 2010, after Sestao's relegation, Gómez moved straight into La Liga, joining Athletic Bilbao for two years[4] with an option for a further one or two.

[9] In 2013–14, Gómez scored eight goals from only 18 appearances, helping the Lions finish fourth and qualify for the UEFA Champions League.

[12] On 31 July 2016, Gómez terminated his contract with Athletic[13] and signed a three-year deal with fellow top-division team Deportivo Alavés just hours later.

[14] On 10 September he scored his first goal for the newly-promoted club, closing a 2–1 historic win against FC Barcelona at the Camp Nou.

[16] Gómez scored his first hat-trick as a professional on 4 December 2017, helping the visitors to a 3–2 away defeat of Girona FC after they trailed 2–0 with 20 minutes left.