Ricky Hatton's father was arrested on suspicion of assaulting his son the day before the British boxer announced his comeback, the BBC reported on Saturday.
Ray Hatton, 61, was given a police caution after the alleged incident outside Ricky Hatton's health and fitness gym in Hyde, Greater Manchester, on Thursday.
Hatton, 33, and his father traded punches following a heated argument, the Independent newspaper reported.
A Greater Manchester Police spokesman said: "Shortly before 11:45 BST on Thursday, police received reports that there had been a fight involving two men outside a health and fitness club on Market Street.
"A 33-year-old man was assaulted by a 61-year-old man, who was arrested on suspicion of common assault and subsequently given a police caution."
The statement said the 33-year-old man was not injured.
Hatton, the former welterweight and light-welterweight world champion, confirmed on Friday he would return to professional boxing with a fight against an unnamed opponent in Manchester in November.
He retired with a record of 45-2 (32KO) after a devastating two-round knockout by Manny Pacquiao in May 2009. He checked into a rehabilitation center in London in 2010 after being the subject of allegations of cocaine abuse.