Add the parsley leaves, oat flour, and peanut butter to a food processor.

Pulse until the mixture forms a crumbly dough.

Add the water, 1 tablespoon at a time, and pulse until the mixture sticks together when pinched.

Scoop out small portions of dough and roll into pea-sized balls between your palms.

Place the balls in a single layer on a plate or tray.

Refrigerate for 1 hour to firm up.

Store the treats in an airtight container in the refrigerator and serve as needed.