Robinson said the fifth-tier club "blew us away with money" when competing to sign a player, to which Neville reacted angrily on Twitter.
He posted: "There used to be an etiquette in football where you wouldn't talk about another club's business."
Yet Robinson insists he personally has no problem with the backing of non-league clubs.
"(I have) no thoughts on Gary's (comments)," he said. "As I said in my original interview, Salford City, I can see the attraction.
"They have excellent backers, they have people who want to put their money in and take the football club forwards so they should be absolutely admired for that.
"I spoke to Graham Alexander (Salford manager), I phoned him and said "this is not what the interview was based on, it was based on how Scottish football can compete".
"I'm very supportive; if people want to put money in football clubs, brilliant.
"It's a massive plus for the game that you have people like that, they have a good manager and are a club that is going forward.
"There was definitely no negative comments about Salford City in any shape or form."