The 32-year-old, who is one of the most decorated players in the club's history, has been forced to play second fiddle to Diego Lopez over the last 12 months.
The Spanish international has been selected for Copa del Rey and Champions League fixtures, but has been used sparingly in the league.
It had widely been suggested that the experienced stopper would attempt to leave the Bernabeu this summer, but such claims have been denied.
"I see myself at Real Madrid next season," he told the club's official website. "I am not planning my departure. I am only thinking about enjoying myself at Madrid."
Casillas has a contract with Madrid until 2017.