Immigration Law Questions? Ask an Immigration Lawyer.
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If you leave the country while waiting on your cancellation of removal and visa approval, then you lose your status and place on the list and you would not be readmitted to the US without going through the visa process again. The death of a parent is not grounds for the cancellation of removal to continue if you leave I am afraid. You have to remain in the US or will not be readmitted without going through the visa process again, since this is a special relief to remain in the US.
Thank you for your reply.
The name of the process is still a cancellation of removal and as far as the visa type that depends on the type of visa you are seeking or the type of visa you were originally here on.