No, Annovera isn't FDA approved for skipping periods.

Do you have a period on Annovera?

ANNOVERA is a long-lasting birth control ring that lasts for 1 whole trip around the sun. That's 13 cycles, which is 13 periods, for those counting. For each cycle, ANNOVERA is inserted and left in place for 21 continuous days and then removed for 7 days.

Does Annovera stop bleeding?

Vaginal bleeding of various amounts may occur between your regular menstrual periods during the first month of use. This is sometimes called spotting when lighter, or breakthrough bleeding when heavier. If this should occur, continue using Annovera™. The bleeding usually stops within 1 week.