"It was an admirable decision and we wish him and Cardiff all the very best for his new challenge.
"I am sure City fans have enjoyed seeing Craig play for City. He has been a great performer for us and I would like to go on record thanking him for his effort and determination to our cause.
"It is clear that it was right for Craig to make a move, and Manchester City has the utmost respect for the choice he has made."
Bellamy has signed a one year loan deal at the CCS.