Team GB were beaten on Saturday by South Korea at the quarter-final stage on penalties, but coach Stuart Pearce wasted no time in declaring that Sturridge and Cleverley were ready to make the step up to senior international football.
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Speaking to the Football Association's official website, Hodgson said: "Most of them (the GB players) are pretty much ready anyway, but one or two of the younger players like Bertrand and Sturridge and players like Tom Cleverley, who is coming back from injury, may have not been quite so much a fixture in their teams.
"Let's hope the Olympic experience with Team GB has given them a better chance of staking a claim for a regular spot."
Hodgson will name a squad for the friendly with Euro 2012 finalists Italy on August 15, and has previously stated an intention to use some players who weren't integral parts of his European Championship squad.
"There will be players involved in that game who weren't part of the Euros and I'm sure Italy will make changes too, so it won't be two similar line-ups from the quarter-final but it will be quite interesting to play so soon after our elimination against them," he added.