Wilson's stoppage-time header was initially ruled out for offside but was eventually given after discussion between referee Bobby Madley and his assistant.
"When the linesman's flag goes up you think "we've got out of jail there a bit", Moyes told reporters.
Speaking to the club's website, he said: "I've given players opportunities".
"But what you can't do is question that the Bournemouth player (Wilson) put it in with the top of his arm".
"I'm in a hurry and I have to be in a hurry and because of that I can not wait three or four months to see how you do".
David Moyes' side had taken an early lead, when James Collins put them in front inside the first ten minutes, however, the Cherries levelled the fixture through Dan Gosling 30 minutes into the first-half.
"Everyone's shown a great desire and is committed in training, but we're short in some areas, and overloaded in some other areas". We've got to stop conceding goals as easily as we are at the moment.
"We're disappointed because we're in the dying minutes and we've got ourselves 3-2 up", Moyes added.
Eddie Howe's team then went ahead after the restart when Nathan Ake scored, however, the Irons had the opposition's goalkeeper to thank for their two late quick-fire strikes.
Now in 17th place in the Premier League, just one point above the relegation zone, West Ham have had a rather frustrating time in recent matches. For example, we've got lots of forwards, but we're really short of midfield players.
"I think nobody doubts his quality as a footballer, his ability but maybe he has got to make sure that his mentality side of it he needs to keep doing it".