Well, if you don't tell them , then u have to provide them the work authorization paperwork most likely green card , ssn ...Those HR ppl are very conservative and are not willing to take any risk at all ...I did the samething with one offer saying that I have work authorizatioin but I did not tell them for how long. After I filled out all the application, they asked for my legal paperwork and they told me that I have to provide them work authorization beyond one year. So I ended up loosing the that job. From that time on, I only applied to the companies who do H1Bs and I still got 2 offers.. so now I don't have a problem..If you got 2-3 offers now , I'm pretty sure u r capable of getting other offers fom company that do h1b...Good luck.. After the first decline, I made up my mind saying that I would not waste all my time with those lousy companies who don't do H1b and went after the one who does.... I don't know man it seems as if everybody has different policy regarding immigration and legal stuffs..If something worked for me doesnot necessarily mean that it will work for you unless it is completley straightforward.. Try the way SAAN DAI said, if it works, it works if not then try smth. else.. My sis is also US citizen and getting green card from that way takes forever man..I tried dat too and I will tell u this, it is not the best way for ur situation cauz of the time factor...