The Ivory Coast defender joined the Reds on a free this summer, and has made an assured start to his career at Anfield.
Toure admitted that his fitness problems at the Etihad was a contributory factor for his departure.
"I had to take time and start playing again because when you don't play for your club it is very difficult to play for your national team.
"You need to be fit to play and I wasn't playing a lot for (Manchester) City but this is a new start for me now and I am playing for a great club."
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