Japan beat Ecuador 1-0 to finish top of Group C with nine points, with Cameroon taking the second automatic spot for the knockout round with six yesterday.
Switzerland have three points with Ecuador having none.
Yuki Ogimi scored after just five minutes in Winnipeg as the Japanese, who were already through after their second group match, closed down the game early.
Japan next meet the third-place finisher from Group A, B or F in Vancouver next Tuesday.
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Goals from Gabrielle Onguene two minutes after the break, and Madeleine Ngono Mani on 62 minutes sealed all three points for the 53rd-ranked side.
It is only the second time that an African side have made it out of the group stage after Nigeria in 1999.
As second-placed finishers in Group C Cameroon next play Group A runners-up China in Edmonton on Saturday.
With three points, Switzerland, ranked 19, could still qualify for the knockout round as one of the four best third-place finisher across the six groups.