Yes. Cozaar side effects include dizziness, congested nose, fatigue, nausea, vomiting, dry cough or blurred vision. These side effects do not occur in everyone and most are well tolerated. However, if the symptoms persist, you must tell your doctor. In rare cases, cozaar causes a persistent dry cough. in such cases, if the cough does not stop, you will need a change in your medication.