Joselu scored a fourth-minute header and Fabian Ruiz struck Spain’s second in the 13th, before defender Robin Le Normand was sent off seven minutes later.
Zeki Amdouni pulled one back for Switzerland in the 41st minute to give the hosts hope.
However, Paris Saint-Germain midfielder Ruiz struck again in the 77th minute before substitute Ferran Torres delivered the coup de grace three minutes later.
The rain-soaked match was a sell-out played before 26,265 fans at the Stade de Geneve, where the pitch remains in poor condition. The grass has been plagued by fungus, the holes being covered with green paint.
Denmark lead the 2024–25 UEFA Nations League A Group 4 with six points after beating Serbia 2-0 in Copenhagen earlier Sunday.
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