The £71m man kept clean sheets in both games and is back putting pressure on Chelsea No 1 Edouard Mendy.
Speaking to Spanish radio station COPE, Kepa said: “Deep down I knew I could do it. Now I am not scared. I want to feel more important and I am working for it.
“I haven’t let it get to me. Now I am feeling good after the inactivity. I have never thought about leaving Chelsea.”
A series of high-profile errors and a crisis of confidence led Frank Lampard to bring in a new No 1 this season, with Mendy now firmly installed in that position.
But Tuchel claims Kepa will get more chances to play this season and the 26-year-old is determined to take them.