Is it the Apple iPod power adapter that will take one end of the USB-iPod cable (the USB end)?
If so, then I should imagine it will.
I have not got a nano, but I have got 2 old ipod photos, and two iPod shuffles, and 2 iphones - all of which happily charge from the same Apple power adapter via the USB-iPod cable.
As long as Apple supplied the adapter, it is likely to fit the whole ipod range.