Cognitive dissonance could be related to personality disorders where projections are more frequent,  we never know so just start your research on this topic. 

Thank you for your answer.

Best Regards

First, I have never seen any research on this issue, but I have not looked either (try putting 'cognitive dissonance' and 'personality' into a database search). But I think it is likely that those who are most likely to change their opinions or attitudes in order to reduce dissonance may have a greater need for internal consistency, or (more likely) a greater need to be seen by others as consistent, which may point to being conventional or sensitive to social pressures (so they might score higher on a lie scale or social desirability scale). Sociability, agreeableness, low low openness are also possibilities, and there may be others in the clinical domain. It may depend on what personality model you are using - e.g., psychoanalytic theories might produce quite different predictions to psychometric trait theories.  Definitely worthwhile investigating!

Thank you Don Munro for sharing your expertise. It added a lot to me.

Keep in mind, personality traits are on a continuous spectrum. These traits are emphasized or de-emphasized by situational content and context. It may be difficult to definitively say a particular personality trait will increase/ decrease an individual's cognitive dissonance. I would focus on the effects of different groups of traits versus individual traits. Good luck with your research!

Thank you Michelle for your important notes and suggestions