If you are looking for a local dog park the list below might help:
- Thomsett Park on Olakuna Cres Ferny Hills
- Arbor Street Park on Tramway St Ferny Grove
- William Scott Park on View Cres & Bunya Rd Arana Hills
- Sylvia Gibbs Park on Nyora St Everton Hills
- Wittonga Park on Alutha Rd The Gap
I found this list on doggo.com.au which unfortunately does not facilitate direct links to search results. If you need more information that site allows you to search by suburb and nicely summarises the facilities available.