I don't think there is a way to completely avoid communication with customers and not harm your business reputation, because any business can have some problems from time to time and you need to get feedback from your customers so that you can understand what you need to improve. But you don't need to create new call center department for business or answer call by your own, I would advise you to find an
outsourced call center. There are special companies that provide such services and the cost of these services isn't very high in comparison with the quality of their work, and the fact that communication with clients greatly affects your profit. Sometimes it’s better to pay to professional than to lose a client or get negative online reviews from disgruntled buyers.