Want to ask a different question?
What is the consequence to a foreigner who acquires credit card debt in the U.S. while working legally and then has to leave the country because he cannot find a job, and is consequently unable to pay it back because of the relatively low salary the foreigner may be receiving in their home country? Does it depend on the time scale? What if that foreigner wishes to come back to visit or work in the U.S. at some point in future?
You do have some leverage here. I would recommend learning about debt negotiation and then work something out with the creditor. http://www.moneyteachers.org
I would consult a specialist at a non-profit consumer credit association for a special case like this.
The bottom line is that your credit profile will still be severely damaged if you simply stop paying the card. But in light of your circumstances, you may be able to work out a settlement arrangement that is manageable for you while still preserving a reasonably solid credit profile, in case you should have need of it at some later time.
The fact that you are a foreigner, that you cannot find work in the US, etc. is really not a valid excuse - as there are many Americans in exactly the same situation. While having the credit card, you used it, and purchased good/services which you've used or are still using. In essence, you do not own those things because you have not paid for them.
If you skip out on the debts and you come back and work, more than likely the credit card company will eventually become knowledgable of that fact and take action against you in some form.
If you come back simply to visit, I doubt that you'd have any issues. Though, with the way all of the government computer systems are tied in to the financial world these days, who knows - they may put a notation in your passport record and when you try to enter the US in the future you may be surprised with what happens.