yea, smokster.....I couldnt find a thing which says it is prohibited. The only issue *might* be if something ELSE trips the GFCI, then youre stove is out....but isnt that the case anyhow, breaker, fuses, etc? All I can tell you is that I couldnt find a thing on the harman manual prohibiting it.....but, admittedly, Im a babe in the woods as far as electronics go, so I defer to the many folks here with that kind of knowledge...all the manual says is "plug into a 120VAC, 60 Hz outlet"...thats it.
About the only thing I could think of would be wiring issue either in the outlet or in the stove (either one of which should be corrected anyway).
I do believe that very early on in the installation instruction Harman strongly recommends a surge suppressor. But I'm old and may be suffering a case of manual confusion and manufacturer misidentification.
To the OP a surge suppressor isn't anything like a GFCI and to mepellet it is likely the outlet that the stove is plugged into is protected by a GFCI outlet that protects a group of outlets which would appear as normal outlets.