Wade co-wrote "Run" with the song's producer, Jason Isbell & The 400 Unit guitarist Sadler Vaden. The song was inspired by a lyric Wade couldn't get out of her head. "I kept thinking about this line, 'Can we fly somewhere foreign. Get me high. Mess me up until the morning?' for about two weeks," she told Billboard
. "Sadler and I got on Skype and he had this guitar riff that fit perfectly."