However, a spokesman for the 27-year-old professional fighter and Olympic silver medallist said he was expecting the case to be dropped on Monday, describing the altercation as "minor".
Greater Manchester Police said its officers were called to Russell Street in the boxer's home town of Bolton at about 1.30am after reports of an assault.
A spokesman for the force said: "Officers attended Russell Street and discovered two 19-year-old men had been assaulted. Their injuries are not serious.
"A 27-year-old man was arrested on suspicion of two section 47 assaults and remains in police custody for questioning."
The former two-time world champion Khan was later reportedly released on police bail with investigations continuing.
A spokesman for the light welterweight fighter confirmed he had been questioned by police about an incident but was expecting the case to be dropped.
He added that some reports in the media had seen the incident "blown out of all proportion".
"It was a minor incident and we're expecting the case to be dropped against Amir," the spokesman said.
"We're expecting to formally hear that from police on Monday morning."