[4] On 5 April 2015, after being already a regular with the B's and being called up to the main squad by manager Marcelino García Toral,[5] Pedraza made his professional – and La Liga – debut, replacing Jonathan dos Santos in the 72nd minute of a 0–0 draw at Valencia CF.

[9][10] On 31 January 2017, Pedraza joined Leeds United on loan until the end of the campaign,[11] with Villarreal paying Lugo £300,000 in order to cancel his contract with them – the deal with the English side included an option to buy for £8.5 million in May, provided they won promotion from the EFL Championship.

[12] After featuring from the bench in his debut, a 2–1 loss at Huddersfield Town,[13] he scored his first goal on 3 March in a 3–1 away win over Birmingham City;[14] as the team could only rank seventh, he returned to the Estadio de la Cerámica.

[22] His only goal for the Seville-based side came on 8 July 2020 in a 3–0 home win over CA Osasuna that ensured another season in the top flight;[23] on 24 September he extended his contract until 2025, after having his role in the team guaranteed by new manager Unai Emery.

[30][31] Pedraza made his full debut on 15 October 2023, playing ten minutes as a left winger in the 1–0 victory in Norway for the UEFA Euro 2024 qualifying phase after replacing Ferran Torres.

[34] Spanish football expert Guillem Balagué described Pedraza upon signing for Leeds: "It’s one of the most exciting transfers of the winter... He’s a 20-year-old, he mirrors himself on Denis Cheryshev – a winger who goes forward and works really hard.