Australian Open champion Azarenka, ranked third in the world, cruised into the quarter-finals with a 6-2, 6-3 second-round victory over former French Open champion Francesca Schiavone of Italy.
Azarenka recovered from a nasty fall in the second set to defeat Portugal's Maria Joao Koehler 6-1, 6-2.
Belgium's Kim Clijsters began her Australian Open defence with a straight-sets win over Portugese qualifier Maria Joao Koehler on Monday.