The Nigeria international reveals he considered leaving the Hawthorns for the Middle East but the new Baggies' boss persuaded him to remain in the west Midlands
Odemwingie also strongly refuted claims of a breakdown in relations between himself and the club over the summer.
He told The Express and Star: "Summer was a time when, at my age, I had second thoughts about continuing to play at this level.
"I thought there would be nothing new for me at West Brom and I gave it a try [asked about leaving] to see what would happen.
"But the club said that it was too early for me to go and they thought I could play an important role for them and keep playing.
"Then pre-season started and I got hungry again for Premier League action and I forgot about it.
"I don't know where [talk of the bust-up] came from. People would have seen afterwards if there was a problem.
"We sat down and had a normal talk. He was the new coach and he said: 'Give me a few weeks and see how we work, because we're ambitious for this year'.
"I said I would give it a couple of weeks and after that I was enjoying training and it looked like it was going to be an interesting season, so I forgot about the offer."