American Airlines Virtual

William Our POH states;

5.1 - Flights AAV also provides One World / code share flights for our pilots subject to the following restrictions:1. - Pilots ranked as Captain and below may fly any code share flight which uses equipment for which they are qualified and which departs and lands within the United States. For example, Trainees may fly code share flights which use any commuter turboprop aircraft. Second Officers may fly scheduled trips which use any of the regional jets (such as the ERJ & CRJ series) and First Officers may fly code share flights which use MD 80, 737 and A320 aircraft.

So to simply answer your question, no. Not until you are a Sr Captain.

Wayne's correct on this one. You may fly codeshare flights as a first officer as long as they depart and arrive within the United States. Since this one is outside the U.S., you would have to be a Senior Captain to fly this particular codeshare flight.