The England manager will not try to persuade the Chelsea captain to do a U-turn, insisting that it would be disrespectful to the central defenders already in his squad.
The Three Lions boss was asked after Friday's 8-0 win over San Marino whether he had considered contacting the Chelsea captain - who quit international football last year - in the wake of withdrawals by several center backs.
"I'm not exactly putting a couple of players from non-league football out there on Tuesday night against Montenegro, and I think we should show them a bit more respect and not constantly compare them," Hodgson said.
"Maybe while we're talking about John we could maybe talk about Roy McFarland and Colin Todd. How far back do you want us to go? I'm sure when people make that point they're aware they're being disrespectful to the people who are there.
"And anyway, football is a team game. You don't win a game because you've got a particular center half, midfielder or a forward. You win it because you're a good team with good players who work for each other."
Despite the politics and defensive troubles, however, Hodgson insists that he is relishing his role.
"I know as England manager you're not supposed to find it enjoyable but I have," Hodgson said. "The one thing England fans can be certain of is that if we fail, it won't be because there are players who don't take it seriously, who are more interested in themselves or their clubs.
"I know those accusations are bandied about, but I can honestly say I've seen no examples of that whatsoever."