Although uncertainty surrounds the futures of numerous United players ahead of this summer, Williams, who has already made 50 appearances for United, has aspirations of becoming a part of new manager Erik Ten Hag's plans.
He has admitted that he is "determined" to become the club's left-back and prove himself as a suitable option.
"What I want to do next year is play for Manchester United at left back and that's my job," Williams told the Canaries' matchday programme for their clash with Newcastle United on Saturday. "That's what I'm determined to do because it's my life and I'll do anything for that.
"I know I can play in this league, and I know I can get to the top and that's what I want to do."