It doesn't matter whether you are locally hired or from outside. EMPLOYER'S consent is must "NOC" inorder to transfer your SPONSORSHIP. This was informed to me by a LAWYER.
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Sadly, we all are waiting for that memorable day when like KUWAIT & BAHRAIN, Qatar will also dump this restriction.
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You can only request them humbly and pray to GOD so HE might put some fear or pitty in their hearts for you