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The Swiss fourth seed was largely untroubled by Rosol as he secured a straightforward 6-2 6-3 7-6 (7-3) victory on Rod Laver Arena on Saturday.
Wawrinka, the 2014 champion in Melbourne, is yet to drop a set on his way to the fourth round, where Raonic awaits.
The two-time grand slam winner extended his run of victories to seven matches, having won the title in Chennai in the lead-up to the Australian Open.
Wawrinka's tally of winners has exceeded his unforced errors in every match at the year's first grand slam so far and that continued against Rosol.
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The Czech was no match early on for Wawrinka, who did cough up a break in the second set before steadying.
Rosol managed to stay with Wawrinka during the third, but the latter pulled away with five straight points to finish the tie-break.
STATISTICAL BREAKDOWN
Wawrinka [4] bt Rosol 6-2 6-3 7-6 (7-3)
ACES
Wawrinka - 18
Rosol - 2
WINNERS/UNFORCED ERRORS
Wawrinka - 45/23
Rosol - 24/33
BREAK POINTS WON
Wawrinka - 4/10
Rosol - 1/3
FIRST SERVE PERCENTAGE
Wawrinka - 58
Rosol - 54
PERCENTAGE OF POINTS WON ON FIRST/SECOND SERVE
Wawrinka - 80/59
Rosol - 69/45
TOTAL POINTS
Wawrinka - 106
Rosol - 83