He said Pakistan, who have never won a full Test series in Australia in eight attempts, would not be intimidated by the Kiwis' innings and 156-run defeat as they crumbled for 76 all out on the fourth day on Sunday.
"We are going to Australia with a positive frame of mind and our young team and are not worried over what happened to New Zealand in the first Test last week," said Inzamam.
The captain, who took over as skipper last year, also received a boost when the Pakistan Cricket Board (PCB) announced he will remain as captain until the tour of the West Indies in May-June next year.
"It's a great honour for me to lead the side and the Australian tour will be my first real test and I want to achieve what no other captain has achieved -- win a Test series in Australia," said Inzamam, who took over as skipper last year.
"On a bad pitch Australia succumbed in India recently so any team can suffer like this," he added.
Inzamam said Pakistan, whose first Test against the hosts starts in Perth on December 16, could take inspiration from their 1992 World Cup win and other One-day victories in Australia.
"We won the World Cup in Australia in 1992 and a tri-series in 1997 so we can do well in the Tests as well and the way this young team is working I am confident that the results will be different," he said.
"This is a young team willing to do its best and I hope they will achieve the best."
Pakistan have announced a 17-man squad for the three Tests and tri-series One-day tournament also involving the West Indies.
Besides Inzamam, only express pacer Shoaib Akhtar, Younis Khan, Abdul Razzaq, Yousuf Youhana and Shahid Afridi have previously toured Australia.