Asking NOC to a company is easy just try contacting them.... But as experience here in Doha, most of company do not give NOC (Slavery and Racist attitude)

Here some tricks if you are canceled (applicable to Asian National) !
1. Return to Qatar in 7 Months with Visit Visa (3 Months)
2. Apply for a Resident Visa after 10 Months

But the most easy way is after 2 years you will be free, when returning to Doha after 2 years of cancelled visa you can get easy work visa.

Note: Do this on your own risk!