Reports has suggested that the winger, who was signed from Birmingham City last summer, would be on his way out of Carrow Road, but his latest comments will boost the club's supporters as they prepare for life in the Championship.
"I signed a four-year contract when I joined so I am committed, and my future is in the club's hands," the 20-year-old told reporters.
"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.
"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."
Redmond scored all three goals as England Under-21s beat Wales Under-21s 3-1 on Monday night.