Moyes is currently in the country on Everton's pre-season tour, and the Scottish boss is full of praise for the country.
"I think Australia should get the World Cup, I do," Moyes told reporters.
"I think the country can take it, I think it's important (to have it) here because I see too much rugby league, rugby union, Aussie rules, and soccer's the main game.
"So let's get the World Cup here and let's show them what it really means and what it's like because you could certainly host it."
However, Moyes believes that the standard of playing surfaces in the country would have to be improved, having been critical of the surfaces at the Sydney Football Stadium and Etihad Stadium, where Everton have played so far on their tour.
"You have hosted big competitions throughout the world before, you've got great stadiums albeit your pitches aren't very good," he added.
"That's the one disappointment coming here I thought.
"You've got everything, all the sports, the stadiums, but your fields aren't made for soccer the way they are back home."