Dobbie, who was on loan at Championship side Blackpool last season, says that the final decision on whether he stays rests with manager Tony Pulis, but is hopeful of playing some part in the Premier League.
"I won't get carried away," he told the club's official website. "It was our first game against an Austrian local team, so I'll take it for what it is, train as hard as I can and see what the manager thinks after that.
"Obviously the final decision is up to him, but I'll just keep working hard, as I've done this week, and see what happens."
Dobbie made just one appearance for Palace last season.