Does anyone know of a free place to walk a dog around the about area? Are all parks out of bounds for dogs?

Try Ozono Suk, 39.

Not really a place to walk the dog but you can let him of his leash for a run around with other dogs.

I see a lot of people walking their dogs between Sukhumvit Soi 21 & 23... try there

http://www.thaivisa.com/forum/topic/163550-dog-friendly-parks-bangkok/

Suggest you post in the pets section to get a better response. Have read previously that there is a large park that allows dogs. May have been at the King's Park but its better if you use the search function to re-check. Good luck!