There are plenty of Asian women married to black men (myself included).
Before the usual, "ASIAN PEOPLE HATE BLACKS" folks come in with their usual banter (I didn't scroll down, so I might be already too late), this really isn't that weird. Many brothas I talk to tend to not spit game at Asian chicks in general (sticking to white chicks mostly when they dabble in interracial relationships). Asian women are really not very different from any other women (black, white, whatever) when you get down to the core (I'm not talking looks, I'm talking personality).
Forget all this, "Nah dawg, their parents HATE US so we cant get no play from Asians!!!" nonsense since we all know that if someone is really feeling someone on that close level they keep the relationship on the low for a minute, and then tell their folks who they choose to be with.
All you have to do is be yourself and talk some chick you're attracted to. If you're good at talking, you're get her number or whatever. If you're not, then you'll post on BGOL about how "wack" Asian women are.
Note: I'm not targeting the OP specifically, just those who have the original question lingering in their heads.