Clarke, who has had a five-month rest since leading Australia to the 2-1 test series triumph in South Africa, experienced pain in his left hamstring while training, a report on Cricket Australia's website (www.cricket.com.au) said.
"We will monitor his condition closely over the next 24 hours to see how he responds to further treatment before making a decision on his management," team physiotherapist David Beakley said in Harare.
Vice-captain George Bailey will lead Australia if Clarke misses the first match of the triangular series, also featuring South Africa.
Top order batsman Phillip Hughes, a late replacement in the Australia squad for injured all-rounder Shane Watson, could take Clarke's place in the side.
(Reporting by Sudipto Ganguly in Mumbai; editing by Ian Ransom)
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