“There are Tottenham and Manchester City in the race to fight for the title and there is little Leicester to fight against them,” said the Italian.
“We are confident. Why not win it? Be positive.”
Leicester followed up Saturday’s late win against Norwich with a 2-2 draw against the Baggies, failing to find the winner that would have put them five points clear despite a host of chances at the King Power Stadium.
“Four points from two difficult matches, it is fantastic,” said former Chelsea boss Ranieri. “We are alive and our spirit is ready to fight again.
“I am happy, not that we didn’t get the three points because you can’t always get the three points, but our performance was fantastic.”