The Blues are on top of the Premier League table with three wins from three outings and a goals record of 14-0 prompting the Ghanaian star to predict bigger and better things to come out of Stamford Bridge this season.
"As a player, you get the inner feeling that something big is around the corner and I feel the same way I felt last season when we won the Double," the 27-year-old told the Daily Star.
"However, I am sure we can go one further and add the big one - the Champions League trophy - to our collection of trophies. Everyone knows how much winning that will mean to us.
"As a team, we have won every domestic trophy and so it's only natural that we have the hunger for the European Cup.
"That is not to say we don't care about the Premier League, FA Cup or Carling Cup.
"We want to win every competition we enter this season - and we will do all we can to win them all."