Not true.
more words differ between "hoch deutsch", which is spoken in Germany, predominantly in the North, and "Österreicherisch" spoken in Austrian than between English and America.
Example:
Gibst Du mir bitte zwei Eier, um einen Pfannenkuchen zu kochen?
Gibst mir zwo coccele, um ein omlett zu bocken?
Can I have two eggs to make a pancake please?
Think it would be the same in US English, big diff though in German and Austrian. ;D