The Nigerian striker saw his planned £3million move end in farce when he was refused entry to Loftus Road on Thursday. Albion boss Steve Clarke branded Odemwingie's deadline-day drive to Rangers as 'total lunacy'.
But Odemwingie, 31, claimed Baggies technical director Dan Ashworth gave his blessing.
And he added that West Brom did not have written permission to give him a medical when he signed for them in 2010.
Odemwingie declared: "I came to this club in an unprofessional way.
"I was not given any written permission by Lokomotiv Moscow when I arrived at this club.
"I arrived and had a medical - I don't think everything was 'professional' when I arrived."
Speaking about his drive to London, he added: "There was a misunderstanding. I asked, 'Can I go now?' I got the go-ahead from what I understand."
When quizzed if Ashworth had given his blessing, Odemwingie replied: "I can say yes. He can deny it as he has to look good in this situation."