Wolves manager Mick McCarthy praised his players even though their return to the Barclays Premier League after a six-year absence ended in defeat.
Goals from Mark Noble and Matthew Upson secured a 2-0 victory for West Ham at Molineux.
"I thought we played well and gave a good performance but I want to win. I do not think we have that many lessons to learn," said McCarthy.
"What it did confirm is that when we play as well as that we have to take our chances and we have to score. If there is anything to learn that just playing well is not enough. That is what we should understand.
"West Ham went ahead with a quality finish and the England goalkeeper-elect (Green) has kept them in the game at the start of the second half. He did make some very good saves.
"Then we don't mark from a corner after we'd had a really good spell. It was an awful goal to concede. While that did did not kill the game completely, it made unlikely we were going to get something out of it."
Upson's goal came just days after the central defender spoke with boss Gianfranco Zola about increasing his goalscoring rate, and the Italian explained: "I am pleased with his performance and his goal.
"In the week we have been talking about that. He said to me he would like to score more goals. After the match he came to me and said we have to talk more often. I said anytime.
"He played well. I know he is a very good player. I am very happy to keep him. Hopefully he will stay with us."
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