Might be better off asking in the AS forum. I'll alert the mods for a move.
That said:
http://www.alaskaair.com/content/mil.../american.aspx appears to say no. Your flight is not within those ranges, and is marketed by AA but operated by BA. BA page has a similar restriction, so it looks like you cannot credit this to AS.
To qualify for mileage accrual, please note that your flights must fall within the eligible flight number range below and your flight must be marketed and operated by American Airlines.
American
Eligible Flight Numbers
0001 - 5599
6750 - 7199
7454 - 7603