Born in Salceda de Caselas, Pontevedra, Galicia, Suárez played youth football in his home country for Porriño Industrial and Celta Vigo.

In the next round of the League Cup, he made his competitive debut for the club when he replaced Samir Nasri in the 67th minute in the 5–2 win against Wolverhampton Wanderers.

He made his competitive debut on 12 August in the 2014 UEFA Super Cup at Cardiff City Stadium, playing 78 minutes before being substituted for José Antonio Reyes in the 0–2 defeat to Real Madrid.

[8] On 11 December, he scored the only goal of Sevilla's final Europa League group match against HNK Rijeka, sending the club through at the expense of their Croatian opponents.

[9] On 29 August 2015, Suárez completed a transfer to Villarreal for an undisclosed fee, signing a four-year contract which includes a buy back clause.

[citation needed] On 29 May 2016, he made his senior debut coming on as second-half substitute for David Silva in a friendly match against Bosnia and Herzegovina.