England are due to face Euro 2016 hosts France in a November friendly.
In the meantime, Hodgson said he was looking forward to seeing how Kane links up with Rooney.
"I'm pleased to see the two of them playing together from the start... Harry certainly deserves his chance," Hodgson told reporters in Turin on Monday.
"He's looking forward to the game and this is a good opportunity for the players who haven't had the chance in qualifiers to show they deserve a place in the squad."
In their past two encounters Italy ousted England from the 2012 European Championships and then beat Hodgson's side 2-1 in the first round of the World Cup before both teams were eliminated at the first hurdle.
However England are also unbeaten since their premature return from Brazil, and Rooney - who will wear the captain's armband - is hoping the Three Lions can prove they have progressed since their World Cup defeat to the Azzurri.
"I think we have to move on from the World Cup. Obviously, the most important thing is qualifying for the championships," said Rooney.
"Tomorrow will be a good test. As a group of players we have to move on. We've played some good football and won games."
- AAP