The Dutchman signed for Ajax in the summer.
"I don't think people in England ever saw the best of me," he said. "For a player to really be at his best you have to give him a certain confidence, but I did not feel appreciated by some people at Liverpool.
"Ajax have given me a chance again to prove myself and I'm happy for that.
"The City game is a good platform for me to show the people who doubt Ryan Babel what I can do."