Add the water, brown sugar, sliced zucchini, pecans, nutmeg, and the cinnamon stick to a medium saucepan and heat over medium heat, stirring until the sugar is dissolved. Bring the mixture to a simmer, and simmer for 5 minutes.
After the 5 minutes, remove from heat and allow to cool at room temperature for 15 minutes. Strain the solids from the syrup, reserving the liquid and discarding the solids.
Stir in the vanilla extract and butter extract, then transfer to a syrup bottle or mason jar and store in the fridge for up to 2 weeks.
Notes
This makes about 1.5 cups of zucchini bread syrup!