The Blues keeper was keen to thank the fans following Tuesday's win over Norwich City.
The Spanish goalkeeper has had to settle for a place on the bench at Goodison Park since arriving with Roberto Martinez, with him often being rotated in for the cup games in place of Tim Howard.
That was the case on Tuesday evening, and he proved the hero, making a number of big saves to keep Norwich City at bay throughout the game.
And while many would not be content with just featuring in knockout competition, Robles says he is the opposite.
"I am enjoying playing in this competition," the 25-year-old told evertontv.
"I want to play of course, but goalkeeper is a different situation. But I work every day – it is my job to be ready. I played this game and now I am only thinking about the next one.”
The keeper was also keen to thank the fans for helping him in the game’s penalty shootout.
The two sides could not be separated after 120 minutes of football at Goodison Park, meaning it was up to the goalkeepers to step up and help their respective sides to secure a place in the next round.
It was a familiar scenario for Robles, who had to do the same against West Ham United last season. This time, however, he proved to be victorious, and he says the fans were key to helping him save Wes Hoolahan’s spot-kick to see the Blues through.
"It was so important having the fans, not just behind me in the goal, but everywhere,” he added.
“I want to thank them for their support, not just for me but for all of my teammates. We're very happy to be through."