In order to get permit information for all the fields I needed to use outside sources. Here is how I got all the permit information.
Roosevelt Island: https://rioc.ny.gov/285/Fields
Pier Forty, and Chelsea Waterside: https://hudsonriverpark.org/permits/fields/
Battery Park Ball Fields: https://media.bpca.ny.gov/wp-content/uploads/2023/04/18130902/April-2023-Availability.pdf
For all other fields in this project: https://www.nycgovparks.org/permits/field-and-court/map