Beattie and the Stoke manager are understood to have come to blows in the Arsenal dressing room, after a row over the squad's Christmas party.
"This has happened 35 or 40 times in my career, when I've been in the dressing room," Delap told the Guardian. "It's got out once or twice. People blow it up. They hear it's about a Christmas party and they jump on the bandwagon.
"On this occasion it was just disappointing that it got out. Nothing has changed at all in terms of our relationships and spirit in the dressing-room."