Emmett which operates under the rules of Gem County does not require a fence permit for anything under 6ft tall.
You can find more information on their page found Here.
Q: Do I need a building permit?
A: You need a building permit for all building-related projects EXCEPT the following:
Any freestanding, stick-built structure that is 10’ X 12’ (120 square feet) or less in size.
A remodel that does not affect any weight-bearing walls or the resizing of windows. (For the actual interior remodel, please check with our office to see if you will need a building permit)
Fences not over 6 feet high
Retaining walls not over 4 feet in height
Re-siding of a building
Painting