He is in contention to play for his country against Georgia and the Republic of Ireland next month.
After winning a place ahead of the Euro 2020 qualifiers, he tweeted: “The weeks just get better and better!”
Styche will be fighting fit for pre-season after signing for Hereford last Friday.
He says he wants to play a part in helping his new club back to the Football League after Alfreton Town accepted an offer for the powerful forward.
“It’s a massive club with a massive fan base, it’s one of the things I’m most looking forward to,” he told the club’s website.
“With two and a half thousand fans here every week it’s a Football League club in everything but it’s standing.
“I’m looking forward to getting my head down and trying to get into the National League.”