Asian near Gwinnett Arena?
Only place that comes to mind in the immediate vicinity is Thai Diner at Discover Mills, which has surprisingly good Thai food and pretty good sushi. If you drive a little further down to Pleasant Hill Rd. and a few miles off the highway you have a lot of options. Book Chang Dong Tofu House for Korean, namely tofu soup. What the Pho? There are a lot of options in that area that I haven't tried but I am sure you can find more searching the board.
I've heard good things about East Pearl Seafood House off of Pleasant Hill, closer to 85, namely in terms of their dim sum