The 45-year-old left his role as offensive coordinator at the Carolina Panthers to take over at the AFC North side during the off-season.
The safety told the team's website: "Our attitude is we're happy that things are going the way they are, but we're in no way settling into what we're doing right now. We'll continue to work hard.
"We have that drive for greatness, that drive for betterment every week. We have a group of hard workers, determined, persistent players, and I think we're a reflection of Coach Chud.
"Things happen throughout the season. You lose good players, things don't always go your way, but good teams find a way to pull games out and come together and play as a team. That's what we're trying to become. We're trying to be on top in this division, win games consistently, and be one of those teams that other teams fear and have to worry about, week-in and week-out."
The Browns currently top the AFC North with three wins from their first five games of the season.