All I remember is this: It took place in either Arctic or Antarctic. There was a female Eskimo who claimed she was actually a white male soldier, but didn't seem the least bit upset or confused. I seem to recall that he/she was in a prison cell. I know that someone asked him/her if they knew where *** (*** being the soldier's rank/name) was, and he/she responded "I'm ***." It was an odd plot point, as it seemed to have absolutely nothing to do with the story.
It seems like it might have been an episode of The Outer Limits (90's series), but I didn't see anything that fit. Pretty sure it wasn't a movie. I know I saw it on TV.

I know it's not much to go on, but it's been driving me nuts for years. Mainly because I really want to know if the gender switch/confusion had any relevance to the story.