I think to be eligible, as of now your amazon mob number and icici bank account mob number should be same. Already you should have an icici credit card. Or u should hav a salary account in icici bank. (also you should be very very lucky to be eligible). Somehow you should have relationship with ICICI
OR
amazon should give you an exclusive invite. You will get the invite by mail.
Read these from a forum. 2 or 3 persons have got the card in that forum.