The 32-year-old is keen to finish his career with the club he joined from Tottenham in 2005.
“I am feeling very good,” Kanoute told skysports.com. “As a striker it is good to find the back of the net and winning and scoring brings confidence.
“It is good to have a strong start because Real and Barca won’t lose many or drop many points, and we have the qualities to battle with them.
“I am happy at Sevilla, it is a place I love and maybe I will finish my career here.”