"It was a wonderful goal and a nice move. It was nicely set up by Erik Nevland, just lifting the ball in and Bobby came on to it with a half volley. It was a good start for him," Hodgson told Fulham's website.
"It's a new start for Bobby. He needs to put last season totally behind him and we'll work with him on the player he was before last season.
"We were very careful with our players on Saturday. Zamora and Pantsil joined us on Tuesday and they've had a couple of training sessions but we started a week earlier than they did so we're a week ahead of them."
Hodgson spoke of Zamora's desire to prove himself at the top level with Fulham after an injury plagued season with West Ham and on Saturday's the striker highlighted some of the attributes he will bring to Hodgson's side.
"Last year Bobby was looking forward to the season then he had that injury and another that compounded the situation," explained Hodgson.
"That kept him out for all but the last few games of the season. When he came back into the team it wasn't doing quite as well as at the start of the season.
"I think we're going to get a player that is more than motivated and anxious to show he's a top class Premiership player. He showed enough in 45 minutes on Saturday to show we'll get some use out of him."