Nuno Espirito Santo's men remain in the bottom three, but they moved two points clear of Watford after a 1-1 draw at Selhurst Park on Sunday.
Wolves were minutes away from a fourth defeat in a row in all competitions after Leander Dendoncker scored an own goal in the 46th minute.
However, Diogo Jota scored his first Premier League goal of the campaign in the 95th minute to ensure the points were shared.
Wolves' fightback was made even more remarkable after they lost Romain Saiss to a second yellow card with 20 minutes of the match remaining.
Wolves are next in action on Wednesday night against Reading in the Carabao Cup and Coady believes they can now look forward with optimism, with the dressing room confident Sunday's draw can kickstart their season.
He told the club's official website: "We'll never, ever lie down, but we've got players who will score goals. We'll never, ever stop playing, stop playing hard. It's something we need to use as a platform. It's not a win, and we need to win as soon as possible because it's not a win, but it's something.
"People are looking at the league and points and different things like that, but we're not looking at anything like that, we never did last year when we were winning games, and we won't do it now because we're looking at performances, improving and using this as a platform to build."
Ahead of Sunday's tie, Wolves had lost to Everton and Chelsea in the league as well as Sporting Braga in the Europa League.
Nuno's side are third in Group K, but they will have a great chance of qualifying if they beat Besiktas in their next European outing on October 3.