Hodgson told an old joke about a ***** and an astronaut to illustrate the importance of right-back Chris Smalling getting the ball to Townsend during Tuesday's 2-0 win over Poland.
Hodgson later apologised after it was reported the comment caused offence.
But Townsend tweeted: "I don't know what all this fuss is about. No offence was meant and none was taken!"
Wayne Rooney also Tweeted his support, writing: "Seen the story on Roy this morning. He [has] done nothing wrong. This is ridiculous."
However, Anti-racism group Kick it Out has called for an investigation into the matter.
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