Request from your management for an NOC with your new job offer and contract. They might consider giving you NOC. but to clear things up with you, even if you were hired locally or overseas, it's not automatic that they will give you NOC. Even in my company and even the Senior Management couldn't ask for NOC from the GM/President/CEO even if they are both the same nationality.

But if youre current company is closing down, they would probably give NOC to you.