I think it can be hard when someone decides on a career in a subject that their parents don't know much about. It's almost a problem of communication - they don't understand your passion, they don't share your interest, and they might not respect your decision to pursue this path.
Of course, when you achieve some success in your career, it makes it easier for people to say they recognise the importance of what you're doing - when it would be nice if they could extend that support a little more unconditionally at the start, when you're more in need of it.
But in this world, support can come from all directions, you don't necessarily need your parents to provide it. Listen to friends, teachers, mentors, and most of all, that sense of faith inside yourself that you have something to contribute to others.