Merle Kilgore, the man who co-wrote the song with Cash's wife, June Carter Cash, reportedly supported the song's use in commercials.
However, Cash's daughter, Rosanne, vowed the family "would never allow the song to be demeaned like that," the Nashville Tennessean reported.
Cash and his wife, both country music legends, died in last year.
Kilgore said he had not intended to upset the family. Rather, he thought the idea was funny. He said he even made hemorrhoid jokes on-stage when he introduced the song.
Rosanne Cash told the Tennessean Kilgore had not consulted the family.
She said: "The song is about the transformative power of love and that's what it has always meant to me and that's what it will always mean to the Cash children."