Greens leader Rosalie Woodruff says she is confident the party will have "a big say" in the next parliament after a strong performance at the polls.
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Projections suggest the party will win four seats, with Dr Woodruff and Vica Bayley set to retain their seats in Franklin and Clark respectively.
Cecily Rosol and Tabatha Badger are on track to win seats in Bass and Lyons.
The party may also win another two seats - one each in Clark and Franklin - and could be a contender in Braddon depending on preference flows.
The Greens leader said the result showed there was an appetite for change among voters.
"The feedback we were getting from the thousands of doors that we knocked on in this short election period was that people wanted change," Dr Woodruff said.
"They were sick of both major parties, and they wanted genuine concern for the issues that they were talking about."
Neither the Liberals nor Labor are on track to win a majority of seats however the Liberals are likely to win the largest share.
Dr Woodruff said she was open to deals with either party, however she was yet to hear from their respective leaders as it was "early days".
Premier Jeremy Rockliff ruled out doing deals with the Greens, and said negotiations were focused on indepenent and Jacqui Lambie Network candidates.
The Greens leader said the party would continue to campaign on issues like housing, health, the environment and the Macquarie Point Stadium regardless of which party formed government.
"I'm absolutely confident that the Greens are going to have a big say in the next parliament," Dr Woodruff said.
"That was our message to Tasmania - put us in a place where we can fight so much harder for things that we've campaigned on in this election. Housing, cost of living, health and of course, protecting the environment.
"We don't know what the numbers will be. But whether there's two Greens in there, or four or more, we will be campaigning on those things."