WELCOME TOParsons Cove Apartments Parsons Cove is an independent living community for those age 55 & up, as well as persons who receive Social Security Disability Insurance. Parsons Cove Apartments is located in Parsons, TN and is managed by ALCO Management, Inc. Parsons Cove offers 1-to-2-bedroom apartments ranging from 576 to 780 sq.ft. For more details about our community and availability, 1-to-2-bedroom (731) 882-7600 (TTY-711) and we will get back to you as soon as possible!