The former England international left Stamford Bridge in the summer after 13 years at the club, and Hasselbaink thinks that the club's all-time top scorer will be cheered by the away support at the Etihad.
He told the Daily Mail: "I don't think it changes a lot for the Chelsea fans. If Frank had been offered a new contract, I think he would have stayed.
"A lot of fans understand that and I was treated very well when I played against them. It was refreshing, and I know City are a rival for the [Premier League] title.
"It was different for me because I was playing for Middlesbrough and Charlton but I think he'll get a good reception."
Chelsea are currently top of the Premier League.