The Three Lions claimed their second straight victory in Group E via strikes from Phil Jagielka, Wayne Rooney, Danny Welbeck and Andros Townsend, with Alex Della Valle netting an own goal for the 208th-ranked minnows at Wembley.
"The thing that impressed me the most was when we lost the ball, we had three or four players sprinting back to try and win it back," Hodgson told ITV.
"That type of desire in a game where you've wrapped up the game is very commendable.
"It was a job well done. The crowd were fantastic, they've had an enjoyable night and saw a lot of attacking football.
"It could have been more but I can't fault the players. I'm pleased we've got this game behind us, we won it comfortably and added five goals to our tally.
"In the first half of these games when they're getting 10 men behind the ball, that's the time you've got to wear them down and keep plugging away and doing the right things.
"If you do that, it'll open up in the second half and there'll be chances. The way the players approached it was very good. What we learnt was the players have got the ability against teams doing this to do the right thing for 90 minutes."