Depends on the situation. As a non-Asian, if you do that in the Asian grocery in my town, you’ll be watched every time you come in the store from then on. Not every Asian woman is:
1. Available
2. Interested in meeting old guys
3. Escorts
Most of them are pretty tired of being hit on.
I’ve seen guys do this and I’ve heard the clerks talking about him.
On the other hand, I can do it when I’m in Korea, and they’re actually interested, because it’s an oddity there for a foreigner to be shopping.