The 32-year-old Nigeria striker joined the Bluebirds in a B£2.5million move late on transfer deadline day, ending an eight-month period where he was frozen out at The Hawthorns after attempting to force through a move to QPR in January.
Odemwingie could make his Cardiff debut at Hull on Saturday, although he is likely to be selected among the substitutes by City boss Malky Mackay.
But he believes the Welsh club, who spent significantly over the course of the summer, have a stronger pool of players to choose from than his former employers.
He said: "Yesterday I told my wife that from what I see this is a stronger team than West Brom. Without any disrespect to West Brom, that is how I feel.
"I think the club has shown what brought them here were gradual steps. They showed a lot of ambition in the window but it took them a couple of years of calculated steps.
"From the chat I had with the manager that is the way it will be. They have plans for the near future and I think the objective is to stay in the league because they all know this league is very tough.
"They had a great start but the finish is the most important part and it is important to get points on the board before December."
Odemwingie, who revealed Stoke, Fulham, West Ham and Swansea had been interested in acquiring his services, also stated he was happy to take his share of the responsibility for his now infamous drive to Loftus Road in January as he sought an exit from the Baggies.
But believes the club also have to take some of the blame.
He said: 'I will take part of the responsibility, but if you have a relationship on one side claiming it is perfect, then that is impossible.
"We are all human beings and we all make mistakes and I believe mistakes were made by West Brom as well. We learn from that.
"As I said before, the West Brom fans are the most important thing to me. I am not against the whole club. I am a fan of a lot of people in the team, among the fans as well I still get a lot of positive words.
"I have never met one single West Brom fan face-to-face who has said anything nasty. I still love the club."
The striker also revealed the lengths he had gone to to win over those West Brom fans hurt by his desire to leave.
"During my stay there, there were people I got to know more than others. There was a nice letter written to me by a fan who had two little boys. It touched me," he said.
"The letter said 'I have two boys and you mean everything to them, overnight they don't talk about you anymore'.
"I thought it would be good to invite them over to my house because when I remember myself being seven years old, I could understand how the boys felt. The letter explained to me why the West Brom fans were hurt."
- Sports & Recreation