On 3 August 2014, Real Madrid triggered Navas' €10 million buyout clause, and he signed a six-year contract with the club. His first competitive call-up was on 12 August, sitting on the bench as Iker Casillas played in the 2014 UEFA Super Cup, which Real Madrid won 2–0 against Sevilla at the Cardiff City Stadium. Navas was given his debut for the club on 23 September, in a 5–1 victory over Elche at the Santiago Bernabéu. He was given his Champions League debut on 26 November, keeping a clean sheet in a 0–1 away win against Swiss side FC Basel. On 20 December, he was on the bench as his team won the Club World Cup, defeating Club Atlético San Lorenzo in the final in Morocco. His performances for Levante in the previous La Liga season and Costa Rica in the 2014 World Cup led him win Player of the Year at the 2014 CONCACAF Awards, earning the dual distinction of the first Costa Rican and goalkeeper to do so.