Add chicken breast, chopped carrot, and parsley leaves to the saucepan. Fill with enough water to cover.
On medium heat, let cook for about 30 minutes. When finished, the chicken breast will be fully cooked, the carrots will be soft, and the water will be infused with flavor.
Leaving your freshly made chicken broth in the saucepan, transfer the cooked chicken and carrots to a blender. Puree until smooth. Set Aside.
Measure 1/2 cup of warm chicken broth and transfer to a mixing bowl. Add gelatin powder and whisk until the gelatin is fully dissolved.
Stir the pureed chicken and carrot mixture into the gelatin-laden chicken broth until smooth. It should have a gravy-like consistency.
Place a silicone mold onto a baking sheet for support and spoon the mixture into each mold, filling to the top.
Move to the refrigerator for 1-2 hours, or until fully set.
Remove jello-like treats from the mold. Store in an airtight container in the refrigerator up to 4 days.