Preheat oven to 300°.
Put banana in a large bowl and use a spoon or potato masher to mash it thoroughly.
Add oat flour, oats, parsley, peanut butter and egg.
Stir well to combone.
Set aside for 5 minutes.
Roll mixture onto 24 balls, using about 1 tablespoon of dough for each.
Transfer to a large parchment paper lined cookie sheet.
Use the back of a spoon or the bottom of a drinking glass to press each ball into a 1 1/2 inch to 2 inch round.
Bake until firm and deep golden brown on the bottom, 40 to 45 minutes.
Set aside and cool completely.
Store in an airtight container in the refrigerator.
*The parsley makes for a breath freshener.*
**You can substitute dried mint for 1/2 of the parsley if you like.**
***You can also adjust the size of the treats for small or large dogs, and bake them a few minutes more or a few minutes less depending on size.***