The council is yet to decide if development would add to its housing portfolio, or if it would be sold to private developers.
The council submission said development would help deal with "an acute housing supply issue".
"[It] presents an opportunity for the council to show leadership by supporting medium-density housing development.
"This option may also provide the opportunity for a potential mixed-use housing development on the site."
At a council committee meeting last week, a proposal by councillor Brent Barrett to retain the land in public ownership was defeated.
"In my view it is the most certain way of actually getting a housing outcome," he said of his proposal.
The Huia St reserve is one of two former city bowling clubs whose future is up for the debate.
The other one, a 7.5ha section on inner-city Summerhays St, is not subject to parliamentary legislation, but is facing the same housing versus recreation debate.
Palmerston North house prices have climbed steeply in recent years and the median price is $750,000. Rents are also growing, as is the emergency housing waiting list.
The bill passed its first reading in December. Select committee submissions close on February 18.
A previous attempt by the council to change the Huia St reserve land's status 15 years ago foundered.
• Jimmy Ellingham is RNZ's Manawatū reporter.