A customer relationship manager's role has definitely changed as a result of technology. He can now analyze and build accurately a huge database on his customers. But on the filp side, a CRM manager is interacting more with customers online only. Rather than offline. Face to face interaction or a personal interaction is essential today to know exactly what are your customers feelings about your product. 

May I improve the question as Customer Relationship Management in stead of Customer Relationship Manager. Please note that CRM could be one of the daily functions of a marketing managers. You should pay attention that "Customer centered" is the second wave of marketing in which the "Value driven" is the new recent approach which is more important. However the CRM definition is "Making any relation into the profitability and finally the proper revenue in framework of organizational mission".

The CRM manager has to maintain a relationship with customers, using technology such as customer data and other technology to keep in touch using social media, AI. Data on non customers and building bridges to them is important

The ultimate role is to create more value for the customer.