When it comes to the best shoe for your arch, the most important thing to get right is the category (neutral vs support). These categories do not refer to the height of the arch, but rather the way the shoe supports your stride since running shoes do not typically have an active shape coming into the foot. Shoes that sometimes feel like the arch has a different height may actually just have a slimmer, tighter fit that hugs the arch area.
If you have a low/flat arch then you would typically want a shoe listed with support. If you have a high arch or high instep then you would more likely want to lean toward a neutral model. Every foot is different though, so it is helpful to know how your foot shape impacts the way you walk/run.
There are some helpful tests you can perform at home, or a local running shop can help you in identifying which type of arch you have and what may work best for you. Use our Store Finder tool to help find some great running shops in your area that can help you identify your arch type and how it impacts your stride.