Ceballos was reportedly left with a bleeding nose following a scratch sustained in a collision with defender Luiz in training - with the pair having to be separated, although the Spaniard later denied this.
Keown, who won three league titles with Arsenal, feels the scuffle at the London Colney training ground might betray a fractious atmosphere at the Emirates.
He told talkSPORT: "If it did happen, it wouldn't be unusual. These things happen.
"It's never nice to see it but Arsenal lost that game against Villa heavily and maybe there is a little bit of a problem within the camp and sometimes people get fraught with one another.
"There's a fighting spirit there. You won't want it to happen too often.
"You need to keep everyone together and Arteta needs to be on top of it."