I doubt if static ram will retain memory in any system. The sole advantage it has is that it doesn't need refreshing, but it loses memory when the power goes, as well as being slower to write, and scarce.
Use battery backed ram, or NVRAM, such as is used for the bios settings in your motherboard. You have a slower & more expensive option in EEPROM (Electrically Erasable Programmable ROM). If you have an fpga in there, you can handle either, but I'd recommend NVRAM.
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