Cristiano Ronaldo hailed Portugal's "historic" World Cup win over Switzerland, a match in which he was dropped by head coach Fernando Santos.

Portugal coach Fernando Santos named his superstar forward on the bench having been left disappointed by his reaction to being substituted in their final group-stage game against South Korea.

It marked another chapter in a tumultuous period for Ronaldo, who departed Manchester United by mutual consent in the wake of an incendiary interview with Piers Morgan.

Santos later said the matter had been solved internally, but Ronaldo's replacement Goncalo Ramos scored a hat-trick and assisted another in the 6-1 rout of Switzerland that set up a quarter-final tie with Morocco.

Ronaldo did come off the bench and had a goal rightly ruled offside, before later hailing the performance of the team via an Instagram post.

"Amazing day for Portugal, with a historic result in the biggest contest in world soccer. Luxury display by a team full of talent and youth," he wrote.

"Congratulations to our national team. The dream is alive! To the very end! Come on, Portugal!"