The big-spending Eastlands outfit have not won since late September.
But hitman Adebayor, 25, reckons how they respond will determine whether City break into the top four.
The Togo star said: "When I was at Arsenal, we always had a spell when we'd draw four or five in a row. Big clubs always have difficult moments in a season.
"These are the sort of things that can happen and the secret is dealing with it well. How we deal with the hard times will be the test of whether we finish in the top four."