well to tell you the fact... i smell something fishy here on both the sides and also conclude that you have'nt provided some core relevant information.... no parents will force such things on thier child, unless they foresee bad things.

other info you asked... there is no need for an exit permit for children on father's sponsorship.

my advice to you...
whatever issue there is, solve it peacefully, they are your parents and will never want anything bad to happen to you.