An early strike from the Nigerian gives Roy Hodgson's men their first league victory of the campaign, leaving Paul Lambert's side disappointed after a spirited showing
West Brom secured their first three points in the Premier League this season with a 1-0 away win over Norwich City.
Peter Odemwingie scored the only goal of the game after a defensive mix-up, while he also had a second-half penalty saved.
The Baggies got off to the perfect start when just three minutes in a hopeful ball into the Norwich area caused problems for the hosts' defence. Ritchie de Laet's headed backpass to debutant goalkeeper Declan Rudd was too short, allowing Odemwingie to steal in to put his side ahead with his first goal of the season.
Norwich almost hit back immediately when Andrew Surman found Chris Martin in space in the West Brom area. Martin drilled the ball across the box and his delivery was met by Ben Foster, but with almost an empty goal facing Grant Holt, the striker failed to find the target from just a few yards out.
Both sides were playing with the kind of confidence that suggested their current league positions were false. West Brom were looking dangerous on the break whilst Norwich passed the ball around with real purpose.
Norwich were taking more control of the game and tested Foster for the first time in the 33rd minute through Elliot Bennett. The winger, who joined from Brighton in the summer, cut inside from the left before firing goalwards from 20 yards, only to see his effort palmed away by Foster.
West Brom then almost doubled their lead completely against the run of play through Odemwingie, but he was thwarted by a good save from Rudd. The Nigeria international broke clear of the Norwich defence and fired low and hard, but Rudd atoned for his earlier error with a smart save with his legs.
Graham Dorrans then almost silenced the Carrow Road crowd when he was given too much space on the edge of the area and unleashed a 25-yard strike that left Rudd helpless, but the Norwich keeper was saved by the woodwork.
Norwich continued to have all the possession in the second half but were simply unable to test Ben Foster in goal, and West Brom nearly punished them through Jerome Thomas. The Baggies broke with Shane Long, who found Thomas on the edge of the area, with the winger's shot towards the top corner flying just over.
West Brom were awarded a soft penalty in the 75th minute after Steve Morison was adjudged to have brought down Steven Reid. Odemwingie stepped up confidently looking to double his team's lead, but Rudd produced an outstanding stop to keep his side in the game.
Norwich then pushed for a late equaliser, and Morison spurned their best chance of the game when he headed wide unmarked from eight yards out after a cross from Bradley Johnson.
The Canaries will come away from the game hugely disappointed as they had the majority of the play for large periods, but they were simply unable to test Foster in the West Brom goal often enough.