The Flex arm does not fit the 32HD. The clamping bracket that holds onto the light itself is wider than can securely hold the light. I ordered a flex arm reading that a replacement bracket may need to be sourced if you get the "old" vs "new" flex arm, but even after getting the "new" flex arm and contacting AI customer support to see where I could purchase the fitting bracket, they told me to get the HMS mounting rail.