i love the answers below ... all is rosy. Guess who is using this board to solicit clients and not answer questions ... lol.
it all depends on the country of origin, and if you have a social security number, and/or any other way of demonstrating credit history/credit rating in the US. Also if you have a green card that should help if not make it simple. Canadians have the easiest time, as there is some cross-reporting. Not so much for other foreign nationals.
That covers the rental buildings. Condos are different, as they are owned by individuals, and individuals can do what they what. The rule of thumb that I use with foreign clients looking to lease a condo is be prepared to do at least one of the following: (1) supply a letter of credit from a commercial bank (2) pay a large deposit, say 3 to 6 months rent or (3) pay for a year's rent in full (a deposit may still be required).
i would suggest something completely different: Have your company lease an apartment from a major corporate housing provider on a long term basis. The larger firms (not Betsy or the other local entrepreneurs) understand such things. In fact Berkshire may have an office dedicated to such activities, now that they are in the RE market.