Elm is desperate to emulate brothers Rasmus, 21, and Viktor, 24, by playing for Sweden and there is every chance of him achieving that goal after impressing Hodgson.
"At the time David came in, we had quite a lot of forward players but he's moved very quickly up the pecking order and he's shown that he deserves to be there," said Hodgson.
"He's probably the least famous of the three brothers. Rasmus was the one who had attracted the most attention, both ourselves and Everton were very keen to sign him. He eventually chose to go to AZ Alkmaar. Viktor was already at Heerenveen and I don't think David was really expecting a foreign club to come in for him.
"Luckily I have some contacts in Sweden, everyone spoke very well of him and I must say he's been a bit of a revelation."