The Spanish goalkeeper has been dropped by manager Frank Lampard following a poor start to the season but he believes he can win back a place in the team - despite the signing of Edouard Mendy from Rennes.
He said: "I feel good, strong and confident. Maybe not the dream and expected situation. We have to experience things like this during our career as footballers. I need to carry on working calmly.
"I am confident to turn the situation around. When I have the opportunity to play I will try to do it the best possible."
Lampard has suggested that the former Athletic Bilbao keeper still has a future at the club, although Kepa remained tight-lipped with regards to the manager's comments.
He added: "I think you should ask him as they were his words. Each coach is different on his communication with the players. I am not going to comment on those words.
"I feel the confidence of the club and also here in the national team. As I have said, I am playing for two top teams with two magnificent coaches. I am only focused on the next match trying to add if possible. "
Spain coach Luis Enrique praised Kepa for his handling of the situation at his club.
The manager said: "He has proved maturity as he has adapted to a very difficult situation, but it is not the end of the world."