Pinnick said Thursday the country, which occupies the 41st position in current FIFA ranking, was well positioned after it had surmounted the challenges that plagued the nation's football.
"With the kind of preparations we are putting in place, I think we can win the World Cup," he told reporters in central Nigeria's city of Jos.
He said the Nigerian government was giving the right support to the local soccer governing body to achieve its aim.
Nigeria was the first African country to qualify for the FIFA 2018 World Cup barely two weeks ago.
No African country has won the FIFA World Cup since its inception in 1930.