Rooney, skippering England for the first time since being appointed Steven Gerrard’s successor by Roy Hodgson, scored the only goal of the game in a 1-0 victory at a less-than half-full Wembley.
Hodgson’s side appeared stuck and frustrated for large periods but Manchester United forward Rooney took the positives from a game that handed Fabian Delph and Calum Chambers their international debuts.
“I thought I could have done better – we all could have done better," Rooney told ITV Sport .
"It's the first game after the World Cup and it was important that we got the win tonight, especially going into the game on Monday.
"In the first half we moved quite well but they made it difficult for us; sat back and created a few opportunities.
"In the second half we started really sloppily and that was disappointing, as we wanted to go out and really take the game to them.
"We got the win in the end and there are a lot of young players in this team. They are still learning."
England travel to Switzerland for their opening Euro 2016 qualifier on Saturday.