I remember the name of the game where you time travel to kill Nazis, it's an older PC game though called Mortyr 2093 - 1944. It didn't sell very well and was written off as a Wolfenstein clone, but it might be worth looking into if you're really looking for an alternate history fix.
Noodle Pirate's link seems to be about a game that's actually quite similar to Freedom Fighters, which is based on the premise the US lost the Cold War and gets overtaken by the Soviets. Except in this game, it's about the US not joining the European front and eventually getting invaded by Nazis. I'm pretty sure the premise of the game is still about killing Nazis and defending America. I don't think this is exactly what the OP was looking for. I think he wanted to BE the Nazis and be in a pivotal role where he can win the war.
I think thanks to all the anti nazi feelings that most people have, any game where you could play as the Axis powers and win will probably never be made.
It's really a matter of profitability. You could make a WW2 game with single player scenarios for both sides, but you'd be essentially doubling your costs in many development areas (e.g. level creation, event scripting, audio if there are cut scenes, etc.). It isn't worth it to expand a title in this way because it will not increase sales. A title dedicated solely to this scenario wouldn't be very profitable either. People would probably be less than ecstatic about a game that's primarily about shooting American soldiers/patriots/war heroes. It'd be as stupid a business move as when EA released Medal of Honor: Rising Sun in Japan. However, the fact that someone did do something that stupid makes it possible it'll happen again.
There are of course groups that are pro-Nazi but I don't think they're going to invest the money to make a retail game about it. Maybe a mod of an existing game, but not a new one considering the development costs of modern games. Of course, there are deer hunting games (with sequels) so anything's possible. However, I think they spend most of their free time dressing up in pajamas and setting huge crosses on fire.
I think one of the reasons why WWII shooters are so popular compared to other reality-based FPS genres is because most people don't feel bad about killing Nazis. In fact, a lot of people feel good about it. I know when I do it makes me feel like Indiana Jones and who doesn't like that? This new game Noodle pointed out is just a variation on the same thing.