The manager told ITV Sport: "I thought the way we approached the game from the first minute was exactly what we wanted and we got our reward. We pressurised the ball well, but you need that first goal to get people to come out and attack you.
"From then I thought we looked dangerous and we had several chances to aggravate the scoreline before Danny Welbeck's second.
"I think we can improve on how we see out the game, but you have to expect that some players will show a little naivety in that area."
England face San Marino in their next qualifier in October.