According to The Sun newspaper, Carroll "put a protective arm" across Cole to help onlookers keep the two men apart in a car park
He was later cleared in court of racist abuse with Cole backing his account.
Ferdinand later rejected a pre-match handshake when Chelsea met QPR.
A source said: “There was no row, no confrontation. They spoke but that was it. There might not be much love lost between them but there was no trouble.”