As an account manager, how would you handle a personality conflict with a client or colleague?

As a manager, a person has to solve many conflicts, and I believe I can handle the personality conflicts pretty well. It is because I can demonstrate fairness and be honest with people while working with them. I have the desire to be empathetic with others and I accept people as they are. My creative and innovative ways to solve the differences will certainly help me serve the clients better and retain them as well. At the end of the day, my focus would be on retaining the old and the new clients and increase revenue for my company.