Redmond made 39 appearances this season after joining from Birmingham City last summer and his only goal was the winner against Southampton back in August.
The England Under-21 international, who scored a hat-trick against Wales on Monday night, has been linked with a summer transfer away from Norwich.
However, Redmond is not looking to leave and is focused on trying to help Norwich to win promotion from the Championship at the first attempt.
"I signed a four-year contract when I joined so I am committed, and my future is in the club's hands," Redmond said in the Daily Star as he prepares to play for England Under-21s in the Toulon Tournament.
"I've had chats with my family and my mum, and my focus is solely on putting in good performances for Norwich that hopefully mean we will get back up at the end of next season."
The 20-year-old added: "Of course the Premier League is the best in the world, and you want to be there, but you have to accept that you get downs in football and you have to deal with them.
"I am just looking to put in some good performances for England now, and hopefully I can continue that form in pre-season and hit the ground running."