As to her actual tactic . . . I don't feel like I have enough information to judge. It may be her parents are hard-headed and stubborn and there's no way they'd give her a chance to do her thing if she doesn't deceive them.
On the other hand . . . I hate to say it, but they kind of have a point. There are millions of kids in China who are into basketball, and how many on the national team? How many girls get the chance to play professionally in any capacity? Mighty damn few. Unless her talent level is truly ridiculous (and unless she's also incredibly tall, which I'm not seeing here), it's an extreme longshot, and pursuing it could seriously impair her chances of doing other non-dead-end things with her life. Her parents may be spoilsports, but they've got a legit worry.
In some other, more slapstick comic it would turn out that actually she kind of sucks at basketball.