Frank Lampard won the game with an early second half strike although Chelsea were lucky to still be level at the break but for Yakubu missing a golden chance.
Speaking to Sky Sports, Kean said: "I think we deserved at least something, there was vast spells in the game where we dominated, especially in the second half.
"I think the amount of chances that we created against a very good Chelsea side I've got to take my hat off to the lads.
"They were exceptional in their application and their work ethic. We just felt as though, but for a couple of good saves and the width of a coat of paint on the crossbar we could have got something."