Daniel Sturridge opened the scoring for the hosts, before Gary Cahill and Phil Jagielka made sure of the win in front of a sizeable Wembley crowd.
And Hodgson was delighted with the result as focus switches to friendlies against Ecuador and Honduras in the United States in the coming days.
"It was a wonderful send-off to the World Cup from a quite incredible crowd," he told ITV. "We had to be very patient but we were dominant throughout and we got our reward.
"It is the perfect end to a perfect two weeks. I am particularly delighted with the way that 85,000-plus people came here to wish us well on our way and that means a lot to us.
"When you play against teams that get 10 men behind the ball... you have to be patient and keep going, but I was never in any doubt that we would win the game.
"I knew that they would tire and, in the end, I think 3-0 is the minimum we could accept from the game."
"When the game was basically over at 2-0, we took the opportunity to change a few of the senior player and give the younger ones a chance," he added.
"I think it's good for them to get out here at Wembley in front of a big and enthusiastic crowd."
