The second-highest goalscorer in England history made some pointed criticisms of Hodgson's team during Tuesday's 0-0 draw in Ukraine that caused immense irritation.
Hodgson told talkSPORT: "I have no problem with Gary at all.
"I have known him a long time and I understand him as well. Reflection changes things and makes us look at other aspects of a performance.
"I am looking at the criticism that we didn't attack as well as we could. I am accepting that as fair criticism.
"Gary is saying we defended well and the discipline is good."
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