The new Reds boss was staring down the barrel of a defeat as his side trailed 30-28 with nine minutes remaining, but Ryan McGoldrick then intercepted a loose Rangi Chase pass to seal a thrilling win.
Noble, who has taken over from sacked Phil Veivers, was delighted to see his new charges come out on the right side of a 12-try extravaganza, and said: "I'm really pleased for the players. We finished on the right side of a basketball-style game and it was thrilling and exciting."
He added: "We had to show plenty of character to defend like we did in the last five minutes. We did a lot of good things going forward and I know there is work to do after looking at the league ladder.
"But it can be cured in time and we need to start raising the bar. At times we looked good with the ball."
Cas caretaker boss Danny Orr came down hard on his players despite running Salford close for much of the contest.
"We didn't deserve to win and to concede 34 points was disappointing," he said.
"We were outmuscled and our kicking game was terrible in the first half."
Orr refused to blame Chase for his match-deciding error, saying: "Rangi is a world-class player as we could see from the things he did out there.
"You can only admire him and I'm not going to tell him to change his game."