The former Beatles star was in town to perform for the FedExForum. He spent some of his downtime visiting the tourist attraction, where Presley died in 1977.
The Graceland estate includes a large museum and several on-site memorials. McCartney visited the grounds to honor the King of Rock and Roll.
McCartney made headlines earlier this month after a swarm of grasshoppers invaded the stage during a performance in Brazil. One insect even settled on his shoulder and remained there for much of the three-hour gig.