The problem is going to be the flasher. The flasher is part of the hazard switch. You will need to replace the hazard switch to correct your problem providing your car is the early 05 body. Known as the A4 or MK4 body jetta
Campaigns/ActionsVehicle Data VIN: 3VWSA69M75M052497 Campaigns/Actions No. Service Number (Campaign Code) Start Date Description Repair Date Applicable Criteria ID(s) Campaign/Action Status 1 N400 2006-11-27 Safety Recall N4: Replace Brake Light Switch 2008-03-31 02 Closed 2 60A7 2010-05-07 A-Front Sunroof Drain Cleaning and Modification 9M Open First your car has one open recall. For the sunroof drain modification. See printout above. Being your car is an A4 body, I still believe the problem you are having is the flasher / hazard switch. Place the turn signal switch in the neutral off position. If the light turns off then the problem is the flasher. Some of the A4 body were mistaking installed with the euro design parking light which is the left turn signal.