I've had many other (i.e. non-Apple) things ordered to hotels in the US with never a problem so unless they explicitly forbid it it should be fine. There are tips for correct addressing to hotels on the web.
There shouldn't be an issue-it's just like any other business address.
When I've flown to watch shows, I have Fed-Ex overnighted my more valuable pieces to the hotel. It beats having a TSA agent opening and flashing $20K worth of stuff in a briefcase for everyone to see(I've been denied a private room before) when they see 40 pocket watches and have no idea what they are on the X-ray.
In any case, the best thing you can do is contact the front desk if you're at the hotel or contact them ahead of time and ask about their general policy on deliveries. I've never had decent hotels have a problem with it.
Ask for how they want things addressed, but the general format is
Guest[Your Name][Room # if known]
They will receive, keep it at the front desk, and call you when it's there.