Bellamy has found himself out of favour at City after boss Roberto Mancini spent heavily in the summer on the likes of David Silva and Mario Balotelli.
A Cardiff spokesman said: “With the number and the names of the clubs being mentioned in connection to Craig it is flattering that we are an option, but at this stage it is pure speculation.
“Being connected to a player of this calibre shows how far we have come, to be even considered in a deal like this.
“We would love it to happen of course, but we are by no means alone in this.
