The Valiants start the new league campaign with a home fixture against Barnet, ranked outsiders for promotion.
Despite their Capital One Cup defeat this week, Adams believes his team will surprise their critics.
Adams said: "Everybody seems to be writing us off. I read some predictions that said we're a club in crisis and have no chance of doing well.
"But the people saying that are being disrespectful to the players we have here. They are writing us off too easy.
"While we haven't got the biggest squad, we do have one that is more than capable of doing well at this level."