The 35-year olds name has been put up for a possible surprise move to the reigning Premier League champions, just months after he walked away from League Two outfit Notts County.
It has been suggested that the ex-Tottenham, Arsenal and Portsmouth centre-half could be used to strengthen United's injury-hit defence and although Campbell would relish the move, he is not getting too far ahead of himself.
"I have heard nothing officially from Manchester United, but there have been suggestions and of course, it would be a great move for me, if it happens," Campbell told ESPN Soccernet.
"I shall just have to wait and see if a call comes through the right channels.
"Of course I would love to play for Manchester United, but I am not counting any chickens, just waiting to see what happens. I am training as usual at Arsenal, and would go to train at Manchester United if I was asked."