On the opposition instructions, make sure that tight marking set at always, along with closing down and tackling is hard. Also put the Weaker foot option on to his left foot. I'm currently Blackburn and just finished my first season playing Arsenal 4 times with Adebayor playing all 4 and he never scored once. Never lost to them either. Make sure your centre back are 6' or over with pace, accelration, concentration, jumping and heading are no lower than 14 in stats. Don't man mark Van Persie. Just Tackle him hard and always close him down.
Good Luck