England are into the 2015 Euros after the second-leg win in Croatia.
Hughes believes the display on Tuesday night shows that English players are able to win while playing attractive football and that a marker has been laid for the tournament in the Czech Republic.
"We showed our quality and how we can play," Hughes told TheFA.com.
"A lot of people have a perception that England can't play football but I think we've come here and shown that we can, especially in the second half."
Leicester City defender Liam Moore grabbed a vital away goal inside the first 10 minutes and, although Marko Livaja equalised before the break, Hughes fired England back ahead as they eased to a comfortable victory.
"Luckily we got the first goal, which controlled it a bit for us," Hughes added. "But unfortunately they hit back and we knew it was going to be a nervy second half.
"But once we got that second goal, they had to score three and we controlled it from then on."
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