The former striker was handed the reins to his first coaching position last Monday and despite the match ending 0-0 he felt his side did enough to claim all three points.
"There was a lot of nervousness, but the response of the boys was very good, it was what we wanted, disposition and order,” he told reporters after the game.
"They (Quilmes) didn't generate danger, and we couldn't take the chances we had.
"Since yesterday I was thinking about the game and how you want to jump (to the pitch) to change things, but obviously you can't!"
The game produced little action of any note, apart from a couple of Ivan Obolo chances for the home side, and in the end both teams seemed happy to settle for a point.
The draw ended a terrible run of form for Godoy, who had lost their last three games, but continued Quilmes' woes, with the club now without a win in eight matches.
Godoy Cruz will face Boca Juniors next weekend, a team that both Palermo and his assistant Roberto Abbondanzieri have emotional ties with from their playing days.