Hodgson has handed Rodriguez another chance to impress after naming him in the squad to face Denmark at Wembley next Wednesday night.
"He has certainly done very well," said the England manager.
"He plays a different position. Against Chile he played as a left sided winger/midfield player. He doesn't always play that position for Southampton.
"I am very pleased that taking him off at half time has not damaged him in any way and in fact he is playing even better now than when we selected him.
"I think he fully deserves his place among that group of forward players and he will be one of those putting the others under pressure for a place in the 23.
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