The defending champions moved up to second place in the table last night thanks to a 21-6 victory at the DW Stadium.
"I'm really pleased. We've been in a tough place in the last few weeks but today we defended really tough and showed that when we keep hold of the ball we can beat teams," Wane told Sky Sports News.
"Credit to Leeds, they never go away, but I thought we were really good. I've said we can play in big games. If we complete and defend with a bit if desire we can beat anybody."
Wigan are back in Super League action on Thursday when they host Warrington Wolves.