The City striker, who scored twice in the match that the Blues lost 4-3 in September, was involved in an altercation with the fan after the game, but escaped any punishment from the Football Association.
Bellamy has insisted the FA were right to only warn him about his future conduct, although the fan in question was fined £305 and banned from attending football matches for three years.
"The simple facts are that he shouldn't have been on the pitch - and I shouldn't have gone over to him," he said. "I didn't punch him, didn't slap him, didn't backhand him.
"I've gone over, told him to get off the pitch. I didn't quite say it like that - but he got the message.
"He shoved his head towards me - and the FA have seen this; everyone has seen this.
"Certain papers tried to make it look like I have just attacked some fan.
"I've shoved his head out of my direction, clear as that. The FA have seen that, that's why I didn't get a ban."