The Arsenal youngster made his international debut as a second half-substitute during the warm-up match with Norway last weekend.
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During England’s 1-0 win in Oslo, the 18-year-old replaced goalscorer Ashely Young and took up his role playing off striker Andy Carroll.
"Against Norway, he asked me to play just behind Andy Carroll. That is a new role for me - making runs behind, almost playing up front," he told The Daily Mirror.
"But wherever I'm asked to play, it's just an honour to do so. I'm not really too fussed about where I play. I'm just going to try to do my best in any position."
Oxlade-Chamberlain’s international call-up caps off what has been a memorable season for the youngster, having appeared in the Premier League for the first time following his move from Southampton.
After making a handful of appearances for the England Under-21 side, the midfielder was then called to the senior squad by Hodgson in preparation for the trip to Ukraine and Poland.
The Arsenal youngster added of Hodgson: "I think he's a really good guy, a really good man.
"He gets on well with all the boys and has a little laugh, but when it comes to doing the job, he's been brilliant tactically.
"We know he wants players like myself, who like to run at people, express themselves. He gives you the licence to do that - as long as it's in the right place.
"For somebody like me who likes to go forward, that's really good and exciting to have a manager who lets us do those things."
The winger, who scored two goals during an impressive debut season for the Gunners, told of the valuable experience he has gained from working with the new England boss.
"With any new manager, it feels like a fresh start but of course it was for me, anyway, because it was my first trip," he said.
"I believe we've learned some real lessons. He has put his points to us, we're taking them in and putting them into the training sessions.
"There is a lot of enthusiasm around the camp. Everybody is trying to impress the new manager. It feels like there is competition for places and we all want to impress him.
"The first week of training was hard but it's also been really good and enjoyable. I think we've learned a lot already."