The plan was to replace the current nets, as the club believed they were sub-standard, unsafe, and outdated.
The new nets were to be enclosed, positioned along the footpath to stop balls being hit into the open field, and include space for a bowlers run-up.
However, nearby residents of Elmwood Park were upset with the impact the nets would have on the landscape of the park, and the lack of consultation from the city council about the project.
David Lynch, who lives near the park, said the decision was a "victory" for neighbours.
Lynch said people living in the area were "unaware" of the scale of the proposal, and the club should look at other alternatives which would not have such an effect on the environment.