The Liverpool captain says it is important for the new England manager, who he played under during the 64-year-old's time at Anfield, to be given a chance in the role
Gerrard worked under the 64-year-old briefly during the 2010-11 season when the former Switzerland boss took over at Anfield after a disappointing campaign with Rafael Benitez.
Hodgson failed to endear himself to the Reds faithful and left by mutual consent in January 2011, being replaced by current manager Kenny Dalglish, but Gerrard is certain the appointment is a positive one.
In a statement released to Press Association Sport, Gerrard said: “I've worked with Roy. He's a good man and a good manager.
“It's important he's given a chance and I'm looking forward to working with him again.”
During Hodgson’s unveiling at Wembley on Tuesday afternoon, he refused to be drawn on whether Gerrard would be the new England captain, stating that the captaincy is just one thing he must think about ahead of Euro 2012.
He said: “Will Gerrard be England captain? That's another thing that will have to be carefully thought out. It's one of the things that will occupy my time in the days ahead."