Yes in the manual it says 10 AWG and 12 AWG for the bigger unit so 12 would work for this one I assume. I was wondering if 12AWG is the same as the name "12-2 WG" (which is all i could find at home depot).
It says 10 AWG (American Wire Gauge) for the 36,000 BTU unit, which is the one in your link. 10 AWG is heavier than 12 AWG. Get the 10 AWG and get a cable for 230v installations - 12/2 is usually for 110v installations.
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