But he is aware the Three Lions head coach has been at games watching the Irons recently - and knows he faces a tough job when it comes to keeping everyone happy with his squad selections.
The West Ham striker told the Standard: "No, nothing at all. I know he has been at the games watching a few of us. We have some great English talent in the team. He is watching everyone and he has a tough job to do [to pick a squad]. Hopefully, I can cause a bit of a headache for him and get myself in there."
Hodgson has hardly endeared himself to West Ham fans this season and, should he ignore some of the Hammers' stars this summer, they may never be able to forgive him.
There's Carroll but, in terms of form, more pressing picks are Mark Noble, Michail Antonio and Aaron Cresswell.
Whether the Three Lions boss goes for any of West Ham's options remains to be seen, of course.
But supporters might hope - and this may well happen - that a Hodgson failure this summer brings about the end of his England tenure. For many, there's often been that balance between wanting Hodgson out and still supporting the national side...