The winger has arrived from Augsburg in recent days.
Vargas said at his presentation media conference on Tuesday: "The first few days went very well. I had a very good feeling about the club and my teammates. I am very happy and very pleased to be here.
"When we had the first meeting with the club, with Víctor (Orta, sporting director), I immediately had a very good feeling. Sevilla is a club with a lot of history. I didn't think twice, I told my agent that I wanted to go to Sevilla."
He also stated: "Well, I'm a player who is good offensively, but I can also defend. I just want to help the team. The first game went very well for me. I had a good feeling from the fans. I want to win every game with this team. It's important that we are positive for the next game.
"Yes, I think I'm a player who has a lot of experience because I played in the Bundesliga. I think I feel good in LaLiga. I play in a team that plays a lot with the ball. I'm very happy here. I feel better every day."