The 35-year-old has been linked with a surprise move to Old Trafford due to the injury-crisis at the club.
“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.
“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.”