I worked in Memphis for 6 months. Some local businesses offer shuttles. There are taxis at the airport, and car rentals are available. I did not like the ride-sharing experience in Memphis and rented a car after the first few weeks.
No shuttle from the Memphis Airport but you can have private Shuttles like Uber etc.
No shuttle operated by Memphis Inernational Airport.
You can get to uber, lyft, a taxi, or shuttles provided by nearby hotels and businesses, but otherwise it's a very small airport so it does not have it's own shuttle service.
Different hotels and businesses in the area offer shuttles, but there are no Memphis International Airport shuttles
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