Defensor Sporting Born in
Paysandú, Gómez joined
Defensor Sporting's youth setup in 2013, from CA Litoral. He made his first team debut on 15 September 2015, coming on as a late
substitute for
Héctor Acuña in a 1–0 away win against
Universitario for
the year's
Copa Sudamericana. Gómez made his
Primera División debut on 4 October 2015, but in a 0–4 away loss against
Nacional. His first senior goal came on 16 October, the last in a 2–3 home defeat against
Montevideo Wanderers. On 31 October 2015, Gómez scored a brace in a 4–1 home routing of
Juventud de Las Piedras; he repeated the feat on 20 November in a 2–2 home draw against
El Tanque Sisley, and also in a 3–2 home success over
Danubio the following 28 February. On 22 May 2016, he scored four goals in a 6–5 away win against El Tanque Sisley, and finished
his first season with 14 goals in only 21 matches. After only four goals in 14 matches in the
2016 campaign, Gómez contributed with ten goals in 12 matches in
2017; highlights included a brace in a 2–0 away win against Danubio on 5 March 2017.
Celta in 2018 In May 2017, Gómez signed a five-year deal with
La Liga side
Celta Vigo, moving abroad for the first time in his career. He made his debut for the club on 19 August, starting and scoring a brace in a 2–3 home loss against
Real Sociedad, and finished his
debut season with 17 goals from 36 games, seventh highest in the division. Gómez contributed 13 goals in
2018–19 as Celta finished one place above relegation. This included one on the final day, as they defeated newly crowned champions
FC Barcelona 2–0 at
Balaídos.
Valencia On 14 July 2019, Gómez signed a contract with
Valencia CF until 2024, with his release clause set at €140 million. The deal saw Valencia pay €14.5 million with
Santi Mina and
Jorge Sáenz moving in the opposite direction, the latter joining Celta on a two-year loan deal. He made his debut on 24 August away to his former club, playing the first hour of a 1–0 loss before being replaced by
Rodrigo. Gómez scored his first goal for the
Che on 14 September, coming off the bench to net at the end of a 5–2 loss to Barcelona at the
Camp Nou. Against the same opponents on 25 January 2020, he scored both goals in a 2–0 victory at
Mestalla, preserving his team's unbeaten home season and inflicting a first defeat of
Quique Setién's spell in charge of the opponents. In 2021–22, Gómez was
sent off twice against
Athletic Bilbao, once for two
yellow cards in a league match and the latter on 10 February in a
Copa del Rey semi-final first leg away at the
San Mamés Stadium. In the second instance, he was an unused substitute and was given a straight red card at half time for threatening the
assistant referee. He was issued with a two-match suspension and thereby missed the
final, which his team lost on
penalties to
Real Betis.
Trabzonspor In the summer of 2022, Valencia sought to sell Gómez due to
UEFA Financial Fair Play Regulations and to free up a spot on their quota of non-European Union players. He was linked to a move to
Fenerbahçe SK, whose
sporting director came to negotiate in Spain, but signed a three-year deal with the option of a fourth at fellow Turkish
Süper Lig team
Trabzonspor on 31 August. The fee was €3 million and his annual salary was set at €1.75 million. On 6 October 2022, Gómez was sent off after 11 minutes of a 3–1 loss at
AS Monaco FC in the
UEFA Europa League group stage, for a high boot into the face of
Mohamed Camara.
Loan to Cádiz On 22 August 2023, Gómez returned to Spain and its top tier, after agreeing to a one-year loan with
Cádiz CF.
Return to Defensor Sporting After spending several months as a free agent following his departure from Trabzonspor, Gómez re-joined Defensor Sporting in February 2025. He scored three goals from 14 matches before he left the club in July 2025.
Nacional On 10 July 2025,
Nacional announced the signing of Gómez on a contract until December 2026. ==International career==