Parker believes QPR have a fighting chance of escaping relegation with Redknapp at the helm.
"We wanted three points. QPR did their job and were set up very well," the 32-year-old said.
"They went to Stamford Bridge and won in their last league game and got a good point against a team like us who are obviously a very good team and up there in the league.
"They've got every chance with Harry there and he'll probably turn things around.
"I think the world of Harry and he can have as big an impact as anyone. We've already seen it over the last few weeks."