The Brazilian stunned football by making a £32.5m move to Eastlands and not, as expected, to Londoners Chelsea.
However, it appeared the 24-year-old's deadline day move had still to sink in when he said: "On the last day, Chelsea made a great proposal and I accepted."
To this a reporter replied: "You mean Manchester, right?". "Yeah, Manchester, sorry!" answered Robinho.
Real president Ramon Calderon had insisted he had no choice but to let Robinho leave the club, saying: "When he talked about his situation he cried and asked to leave Spain."
But Robinho hit back, saying: "I didn't cry. I just told him that I would like to leave. Since he was desperate because he didn't hire anyone, he pretended not to listen to me.
"At the end, he made things even worse for me to leave, but I didn't cry. I only told him the truth, that was, if the club didn't want me to stay there, then I didn't want to stay at Real either. I wanted him to let me go, through the front door, without any fight."
Pele, the most famous Brazilian footballer, criticised Robinho's decision to join City, but the 24-year-old said defended his decision.
"Look, I accept Pele's criticism. He is the king of football. But, maybe, if he were in my shoes, he would have done the same thing," added Robinho.
"I think that only someone who suffered as I suffered in Real Madrid may have something to say on this. People from outside, judging (this situation) is easy."