In the tri-series' second match at Harare, Pakistan were asked to bat first by Australia as the latter won the toss and the former were able to score only 116.
Stanlake wreak havoc on Pakistan's top-order as he finished with a four-for in his four overs, giving away just eight runs.
Leg-spinner Shadab Khan was the top-scorer for Pakistan with his 29 off 25 balls courtesy one boundary and a maximum, while Faheem Ashraf contributed important 21 off 17.
Asif Ali was the only other batsman to make it into the 20s as all other Pakistan players found it hard to score.
Andrew Tye joined Stanlake in the wickets column with his three-for in 3.5 overs, but went for a hefty 38 runs.
In their chase, Australia faced no problems at all as captain Aaron Finch scored unbeaten 68 off 33 to guide his team past the finish line. He hit four fours and six sixes in the process.
The only wicket was taken by Hasan Ali as he dismissed D'Arcy Short for 15.
Earlier, Pakistan beat Zimbabwe in the opener of the series to set the pace right en route the tri-series silverware.
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