Aston Villa lost 1-0 to a goal from Kevin Nolan amid claims of offside, but the visitors' manager felt that the decision to allow the strike to stand was the correct one
Nolan struck five minutes before half-time, but Villa defenders claimed that Ricardo Vaz Te, who provided the assist, was offside in the build up.
However, referee Mike Dean ruled that Ciaran Clark had got the final touch before the ball reached Vaz Te rather than a Hammers player, and Lambert said he had no complaints about the goal.
"I wasn't sure at the time but I saw a tape afterwards and it came off one of our lads, so I can't fault the ref," the new Villa manager told reporters after the game.
He also admitted that his side did not do enough to win the match and were lacking creativity in the final third.
"We started well, but it's all very well having lots of the ball but not if you don't score," the 43-year-old explained.
"We need to be able to service Darren Bent. Losing Gabby Agbonlahor was a big blow to us before this game. You've got about three and a half milliseconds to hit the ground running in the Premier League."