García Cortés competed in the 1980–81 European Cup with Real Madrid – during his spell at the Santiago Bernabéu Stadium, he was part of the team dubbed Madrid of the Garcías[2]– appearing in four matches[3] and starting in three: in the final against Liverpool, his 82nd-minute mistake whilst attempting a clearance enabled Alan Kennedy to score the game's only goal in Paris.[4][5][6]
After retiring, García Cortés returned to Real as youth system coordinator.[7]