The Three Lions secured a 1-0 victory at Wembley Stadium in their final outing before a 23-man squad for this summer's World Cup will be announced.
Hodgson is the man charged with the task of whittling down a lengthy list of hopefuls and claims the latest showing from his side has only served to highlight how difficult a task he faces.
He told Sky Sports: "The pressure has been on as to how are you going to choose 23 when there are so many good players to choose from? Tonight nobody did their cause any harm, in fact many of them did their cause a great deal of good.
"It's really going to be a question now of seeing what happens in the next two months in the league matches that I'll be watching and the Champions League matches that I'll be watching and hoping that I still have the same problem come May 13th.
"There are certainly more than 23 England players who deserve to be on the plane."
It appeared at one stage as if the Three Lions would be frustrated, but Hodgson believes they were deserving winners after seeing Daniel Sturridge nod home eight minutes from time.
He added: "It was a dominant performance, I thought. Especially our second half performance has given us a lot of encouragement.
"I thought in the first half we worked hard but didn't get the ball in behind as many times as I would like. Sometimes our passing was a bit too slow, but I think we certainly sharpened up in the second half and even in the first half we created chances.
"I think we were really good value for our 1-0 victory and I'm delighted that so many players that were making debuts or playing one of their early games for England did so well."
The one man making his senior bow against the Danes was Southampton full-back Luke Shaw, with the 18-year-old introduced in place of Ashley Cole - a man with 107 caps to his name - at the interval.
Asked how he felt the youngster fared, Hodgson said: "I thought he did exceptionally well and it was even harder for him because Ashley Cole had played so well in the first half.
"He was coming on after seeing the experienced Ashley play so well and with the spotlight on him, but he took to that like a duck to water. He didn't show any signs of nervousness or any anxiety. I thought his performance was very, very good."