The area earmarked for sale is next to Splash Planet and as well as the courts, it includes the Splash Planet depot, which would be moved.
Albert St resident Athena Galyer, whose home backs onto the park, said while the council had sent letters to close neighbours of the park, and details were in the council's draft annual plan, she wanted the sale proposal to be more widely publicised so the community could get "a lot more support keeping the park for the people".
The council had previously advised Parkvale residents planning changes would allow higher density housing in the suburb "and then they want to take a park away, well you can't do that," she said.
"It's really important and the people really need to start fighting back for their park."
Residents have until May 11 to lodge submissions on the proposal through the annual plan process.
Netball goalposts from the Sylvan Road courts were moved to new courts at the Regional Sports Park.
The sports park has also become the administrative centre for netball's regional association, Hawke's Bay Netball.
Hawke' Bay Netball's operations manager, Tina Arlidge, said the association was happy with the better quality playing facilities at the new venue, which had allowed it to combine Napier and Hastings competitions.