Scope for an experienced network engineer is limited, forget about a fresh pass out. You will be wasting your valuable time if you plan to start your career in Qatar as an IT/Network Engineer until you are extremely lucky.
Don't want to discourage you, however I know to start a career as any IT related engineer in India, you have to be really good. Qatar has always given a way out for all such Engineers who were not good enough to earn their living in India, unfortunately in the field of IT even Qatar can't be of much help.
Good Luck!