The Canaries are currently four points clear of the bottom three, but the three sides below them in the table all have games in hand.
Norwich face Liverpool, Manchester United, Chelsea and Arsenal in their final four matches of the season, but Hughton has said that the players will approach those games in a confident manner.
"I don't think you can ever feel we cannot get points in those final four games," he told the Eastern Daily Press. "If they were in any other stage of the season we would not be going into them with a defeatist attitude and particularly at home, we are capable of winning against what are regarded as the bigger clubs.
"We still have to look at it that we have eight games left and we have to get enough points across those eight games.
"I think my side is capable of that. We know it will be tough. Our form has been up and down, we have been inconsistent but we know we have enough capabilities to do that."
Norwich face Sunderland at Carrow Road on Saturday.