Though many an owner likes to give their American Eskimo Dog a haircut, groomers, veterinarians, and enthusiasts acknowledge: if an American Eskimo Dog is shaved, it will do irreparable damage to the coat. Here's why: this breed (as with all Spitz dogs) has a double-layered coat, with temporary, re-generating undercoat hairs (the ones that shed) and more permanent outer "guard" hairs. This outer coat is thicker, and has naturally water-resistant oils. Overall, the coat is designed to trap cool and warm air to regulate the dog's body temperature.
When an Eskie is shaved, the thick outer hairs are completely removed, and they take years to grow back, if they ever grow back at all. Shaving an American Eskimo Dog basically eliminates the coat's natural effectiveness: it's no longer water-resistant, it can't regulate temperature, and the coat is fuzzy and soft instead of strong and protective.
So if your desire is to give your American Eskimo a Puppy Cut (in which the coat is cut to 1-2 inches) or something similar, by all means consult a professional groomer first!