Will 32GB of RAM work with an Intel 7th gen CPU?

Yes, but check your motherboard. The CPU supports up to 64GB of DDR4, so 32GB is fine—the real limit is your motherboard. Older budget boards might max out at 16GB per slot or only have two slots. Speed will downclock to DDR4-2400, so don’t waste money on faster RAM. Make sure your BIOS is updated for better RAM support.