The result leaves Wolves bottom of the Premier League table, 12 points from 17th place with seven games to play.
Edwards said at the final whistle: "The players are, and we owe it to the football club, ourselves, the fans to keep fighting all the way until the 38th game, so we'll do that.
"We spoke a lot today about the impact the subs can have from the side, and they have been in recent weeks, whether that is scoring goals or having a big impact, and we got that again tonight. Al the lads that came on were really effective. It is a squad game. Really pleased for Tolu, but all the lads were great."
On facing third from bottom West Ham after the international break, Edwards added: "We know that's a big game, they all are.
"We'll get some time off and then it will be a mixture of good training weeks and a friendly in there as well to make sure we prepare for the right way. We've never had a 25 day break in the season before so it will be a new one for all of us."