The Liverpool striker is facing a charge of violent conduct from the Football Association for biting the arm of Chelsea's Branislav Ivanovic in Sunday's 2-2 draw at Anfield and could be suspended for more than three matches.
But any suggestions he may be kicked out of English football were nonsense according to former Manchester United captain and current Sky Sports pundit Neville.
"You hear all this media frenzy, 'get him out of the country'. The only way I can try and compute this, forget being a pundit and analysis when I am sat here in this chair, is to put myself back in the changing room," he said during the coverage of Monday Night Football.
"As I have had team-mates who have done wrong and as I have done wrong myself in the past, do I throw you overboard? I would think they have let their team-mates and their football club down and created pressure.
"But I would never for one minute think, 'throw the man overboard'. The idea Suarez can never play for Liverpool again or the idea he should be thrown out of the country, for me, is nonsense and an overreaction.
"He has made a big mistake. He knows that. He has got to try and win people back. He has got to get better. When you make mistakes, you have got to get better."