Rosler was in charge of his first league game on the road since replacing Owen Coyle at Wigan, and looked a good bet for a win before Stroud called a halt to proceedings in torrential rain in the 59th minute.
Midfielder James McClean scored his first goal for Wigan in the 24th minute, coolly sliding the ball under Wednesday goalkeeper Damian Martinez after a fortunate ricochet off defender Roger Johnson had sent him clear into the penalty area.
Despite the disappointing end to the game Rosler was happy to accept the decision.
He said: "I've no complaints. The referee did the right thing.
"Safety first for the players for both teams. I felt that when you have so much water on the pitch that Nick Powell can't convert a one-on-one with the keeper because the ball's stuck in the water, I think the referee didn't have a choice but to call it off.
"I think the referee was very good. In the first half when more rain came and settled on the pitch, I thought he was excellent and it was the right decision."
Rosler was happy with what he saw on the pitch from his players, but knows having to rearrange the fixture could take its toll on them.
He added: "Obviously for us, as good as we played in the first half and in the second, as tough as our game programme is in the next few weeks, this was a blow.
"I enjoyed myself so much the way we played in the first half against a team who has been on a high and beating top teams in our division, how we played on their pitch, how we quietened the crowd, how we dominated the game, I enjoyed myself so much.
"My only criticism is that we didn't score more goals. The game should have been safe at half-time."