Roberto Di Matteo’s Blues are currently third in the table, three points behind leaders United and one behind second-placed City after 11 games.
The west Londoners slumped to a sixth-place finish last season but Cech believes Chelsea’s solid start to the new campaign has laid down the foundations for a genuine title challenge from the Blues.
“It looks like that [it will be a three-horse race],” Cech told Chelsea’s website. “We had a very good start.
“Manchester United started with a defeat but are now top and City had a very good victory because losing 1-0 you think Tottenham might get something out of the game but they managed to win and now have the advantage over us.
“It’s early days and we still have to play them in two weeks, which will be a big game for both teams.”