Aguero made the switch from number 16 to number 10 in August following the departure of Edin Dzeko to Roma in the summer.
Aguero spent time on Tuesday personally signing the shirts purchased by City fans before his number change.
Speaking about why he wanted the number 10 jersey, Aguero said: "The No. 10 shirt means a lot to me. When I arrived at City, Edin had it - he wore it very well, and of course, I respected it.
"That's why I picked the No 16. I must admit, I have warmed to it over the past few years and shared many special moments in it but the no.10 shirt is very special for me.
"I always felt a connection to it, and even more so now."