What are parents' ambitions for their children?

Answer 1

Rather than "ambitions", I'd say parents have hopes for their children. Moms and dads imagine a baby growing up and "becoming" whatever the person becomes. The best or ideal way to hope is broadly, rather than specifically. For example, rather than "Johnny will join the family business" a dad could instead hope that "Johnny will succeed in whatever occupation he might choose."

Many parents push going to college as the pinnacle of "success". But many young adults do better to go into Vo-Tech, the Arts, or some other hands-on occupation instead of college.

If parents focus on broad hopes they will feel extremely proud, whatever their child chooses to do in life.

Answer 2

I only aspire for my childrens happiness in all they do.