In a similar incident, Peter Siddle was involved in a fiery clash in his Canadian Global T20 league clash when he refused to shake the hand of opponent Kesrick Williams.
Earlier, Solomon Mire (63) led Zimbabwe by scoring his second half-century in the tournament before he was clean bowled by Andrew Tye (3-28) in the 19th over.
Cricketers Glenn Maxwell and Peter Siddle have both been involved in fiery gestures.
Australia opening batsman Aaron Finch is the first player in the history of Twenty20 Internationals to break the 900-point mark as he moved up three places to finish the tri-series in Harare against Pakistan and Zimbabwe as the top-ranked batsman in the shortest format of the game.
Finch too found some terrific touch in the African nation, taking his global T20 run tally past 400 with his mammoth 172 against Zimbabwe, before coming back to earth with scores of 3 and 16 in Australia's last two games.
Zaman scored a man-of-the-match cameo 73 runs from 49 balls up the order. They now have 12 points from four matches, Australia are on eight and play their last match against Zimbabwe this morning and enjoy a superior run rate of 2.421 against Pakistan.
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The pair punished the bowling of Ashton Agar and Jack Wildermuth with 16 runs each in consecutive overs midway through the innings to set Pakistan on their way to victory.
In all, Zaman scored a staggering 278 run in five outings in the Zimbabwe-hosted tournament at an average of 55-6 - nearly unheard-of figures for the game's shortest worldwide formats.
All five of Pakistan's bowlers managed to take a wicket.
"I thought we should've got up around 200", Finch said after the game. "Malik and Zaman then did the job for us with the bat". I don't think we were complacent, I think with the ball we just mis-executed and got hurt badly.
Pakistan didn't help themselves with some sloppy fielding, which included dropping Finch on the first ball he faced.
Pakistan lost both Sahibzada Farhan and Hussain Talat in Glenn Maxwell's first over to leave them two for two, but it was the fourth-wicket partnership between Zaman and Shoaib Malik that would prove key.