Shipping large items from Germany
Just wanted to be clear it can be done, but likely will be expensive. However persons have all sorts of things sent from that country to North America including Mercedes-Benz cars so where there is a will there is also a way.
Large things are an issue because most all mail and other shipping goes via air, which means weight and size often become an issue. You *can* have things shipped via "freight" or "cargo" on ships, but that means making other arrangements one would assume than just going to local post office.
Most of the large appliances from Europe found in North America both vintage and even modern came two ways; persons moving house years ago when getting here from Europe was by default always by ship, and or a military/company/government move where someone else was footing the bill.
In days when ocean liners provided scheduled service across the Atlantic passengers had very generous luggage/cargo allowances. That and or shipping companies, postal services, etc... could send things with some sort of regularity.
Today ones best bet for getting large appliances or such out of Germany/Europe cheaply is to find someone connected to the military or diplomatic corps being posted back to the USA, then see if they have room in their "container" for whatever.
US military and State Department like those in Europe have extensive publications/information telling persons what is best to and not to bring not just across the pond but other parts of the world as well.
Advice for appliances is usually not to bother as the difference in frequencies (North American 60hz versus much of Europe's 50hz) can mean the things won't function correctly.