Reacting to Lynam's claim on his podcast on Sky Sports, Neville said: "I love Des Lynam. I met Des Lynam in 2002. My first ever punditry gig was 22 years ago. I broke my foot before the World Cup in Japan and South Korea and ITV asked me to be a pundit. I had the most incredible time, it was the moment that I recognised I wanted to go into punditry because of the people I was surrounded by.
"The fellow pundits on that panel were Bobby Robson, Terry Venables and Paul Gascoigne. I totally don't belong in that panel from the point of view of football greatness and coaching. What I could give them was the current understanding of what was happening in that dressing room."
He added: "Des Lynam was the doyen, the God of hosts and presenters in that era. Someone with an unbelievable voice, great delivery, great humour. I always got on with Des but if you could please stop putting me forward as the manager of Manchester United it would be quite helpful. I understand where you're coming from, I do understand the club, I do love the club, I do believe I can communicate well. However, I don't want to go back into coaching number one, number two I don't believe that I'm the best man for the job by a long way."