Despite a recent run of poor form, which produced only one win in seven league games, Kidd said he regarded Chelsea as the other main contenders for the ultimate prize.
"It's the same with Chelsea," Kidd commented.
"Not so much so with Arsenal as it's been five years since they were in the mix - but they [Chelsea] know how to go on and win it."
Manchester United midfielder Darren Fletcher dismissed Kidd's claims.
"It is just a bit of kidology," Scotland captain Fletcher responded.
"It is still early stages and lot of teams will feel they are capable of winning the league. We are one of them.
"We are in a good position. We are top of the league with games in hand. But it is easy counting the points. You have to win your matches and your games in hand.
"This is the important part of the season when you really need to kick on. After January, when all the big games come on the title run-in, that is when it is important to be playing well and winning games."
The first meeting between the title contenders comes next Wednesday, 5 January, when Man City travel to face Arsenal at the Emirates Stadium.
Victory for City could allow defending champions Chelsea, who travel to Wolves on the same night, an opening to get back into the top three.
Despite the west Londoners' recent run of poor results coming to an end with a 1-0 win over Bolton, Blues boss Carlo Ancelotti said he was just looking at what his men were doing and not making calculations based on anyone else's form.
"We don't have to look at United," Ancelotti reflected.
"This is a very difficult championship because every game can have a difficulty.
"It's a Premier League with a lot of balance, so nothing is decided now."
This page is best viewed in an up-to-date web browser with style sheets (CSS) enabled. While you will be able to view the content of this page in your current browser, you will not be able to get the full visual experience. Please consider upgrading your browser software or enabling style sheets (CSS) if you are able to do so.