My dad was the one who found it and got me into it back in '08, but his attitude towards it has changed dramatically. He now says I'm not allowed to play online using our home internet cause he doesn't want to pay data fees for me to do it. He doesn't care if I do it elsewhere though.
My mom is pretty indifferent and her mood towards it changes from time to time. One day she expresses interest and asks what the goal of the game is about, another day she doesn't care, and sometimes she hates it if I play it too much or she notices I'm online.
Overall, I think they mainly don't care, but they seem to hate it more than not and they definitely don't encourage it.