Hodgson confirmed that Carrick was left out because he had previously declared himself unprepared to make up the numbers with the Three Lions, while Hodgson deemed Steven Gerrard, Frank Lampard, Gareth Barry and Scott Parker to all be preferable central midfield options.
"I wouldn't dream of putting Michael on a standby list after he has made it clear in the past he doesn't want to be involved like that," Hodgson said.
"I'd have to be convinced he was better than the four I've selected and that he'd be happy to come out of retirement."
Carrick has not retired from international football, however, with Club England managing director Adrian Bevington confirming he was ready to help if circumstances ravaged Hodgson's midfield options.
"Michael will help in an extreme case," Bevington said.
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Hopefully if Parker doesn't make it, he'll take Carrick instead.