The Nigeria international was the victim of racial abuse at Lokomotiv Moscow with his move to West Brom last month greeted with banners at Lokomotiv's ground, saying 'Thanks, West Brom' - together with the drawing of a banana.
West Brom fans have created their own banner, proclaiming 'Thanks Lokomotiv' and Odemwingie is delighted to have left the Russian side for England.
"There was no doubt what they meant," Odemwingie told The Sun of Lokomotiv's banner. "They tried to give me some other explanation about it being an old Russian custom. But that didn't wash with me.
"It was all very unfortunate. It wasn't just about racism, there were other things going on as well. Eventually, it was best that Lokomotiv and myself parted company.
"The whole business has worked out perfectly for me. I am grateful. Once I knew Albion were interested, I was interested too. The Hawthorns has turned out even better than I might have hoped.
"This is a proper football club, with a good team that concentrates on playing attractive football for their supporters.
"It is a better team than Lokomotiv, for sure. There are many stars in Moscow but they do not place such emphasis on the group effort like I have found with West Brom.
"This place is exactly right for me and I hope I can be right for West Bromwich Albion."