The Spain international is officially the world's most expensive goalkeeper after joining from Athletic Bilbao in a £71.6m deal on Wednesday evening.
Kepa, who came close to signing for Real Madrid during the January transfer window, is hoping to repay the Blues' faith during his time in West London, having been talked into making the switch by compatriots Cesar Azpilicueta, Alvaro Morata and Pedro.
"I had excellent references from them about the club, knowing them and being able to talk to them has been a great support for me over the last few days," he told Chelsea's official app, The 5th Stand.
"And then of course there are many great players here, like N'Golo Kante, [Eden] Hazard, [Olivier] Giroud. It's a squad full of fantastic players. We have a very exciting season ahead of us, so let's go for it.
"All clubs need to fight to win titles and what all players want is to win. So what I would like is to win more titles for the club.
"This is what I aspire to do. I would like to be remembered at this club when I leave years down the line as a goalkeeper that has helped the club win a lot of titles and gone down in history in that way."