The community was asking a ''corporate giant to have a social conscience''.
Representatives of ANZ met Clutha District Council staff yesterday before last night's meeting.
Mr Cadogan said they fought ''for the bottom line'' over what the bank should give Milton in the event of the closure.
Mr Cadogan said the bank had agreed to keep an ATM, notify the council of its use and let it know when the branch building would be put on the market.
In reply to questions asked by residents at the meeting, an ANZ representative said as discussions were still ongoing with branch staff, the bank was limited in what it could discuss at a public meeting.
There was a shared feeling that when the Westpac Milton branch closed in 2014, many were told ANZ was ''in it for the long haul'', and many felt betrayed by the proposal to shut the bank.
ANZ said it was not viable to keep the branch open, as use of the bank had dropped over the past year.
Information provided at the meeting stated the council did not switch banks when the Westpac branch closed, a statement that Mr Cadogan rejected.
''As of last Tuesday, the council had $7 million with [ANZ],'' he said.
Cr Finch said she doubted some of the figures provided by the bank, which stated about 40 people had switched banks, and asked residents to let her know how many had actually become ANZ customers.
One man at the meeting said the bank was ''killing the town'' if it decided to go ahead.
An official announcement on the decision to close the bank is expected in October and, subject to consultation with branch staff, the branch will close on November 4.