The Metropolitan Police said a man was arrested at an address close to Chalk Farm Tube station in north London on Wednesday.
A statement said: "Police were called to Regents Park Road, NW1, at 12.55pm on Wednesday March 12, following reports of an assault.
"Officers from Camden Borough attended and a man in his mid-40s was arrested on suspicion of common assault.
"He was taken into custody and subsequently cautioned for common assault.
"The victim, a man, did not require medical assistance at the scene."
Cantona made 143 appearances for United between 1992 and 1997, scoring 64 goals.