Shaw hasn't featured in the last 15 England games under Gareth Southgate since playing against Spain in the Nations League 17 months ago.
"I'd be lying if I said I hadn't thought about it," admitted Shaw.
"But, you know, I've got to keep working hard, keep my head down and whatever happens happens. Of course, it's everyone's dream to be involved in the Euros.
"I'm just going to keep my head down, keep working. At the end the day it's not down to me, it's of course down to Gareth and I'll respect whatever he decides."