The 22-year-old Costa Rican joined the Toffees from FC Copenhagen on transfer deadline day.
"It was a dream to play here," he told the Liverpool Echo. "As a young boy I wanted to come to England and play.
"There were other clubs who were interested in me but it's not important now. I'm happy here and it was the best decision for me."
Oviedo has made two appearances for Everton so far this season.