The 18-year-old impressed in the Gunners’ last outing as they beat Tottenham 2-0 in the FA Cup third round.
He can go past people, is a good finisher and has a very good football brain with good vision
And Wenger is confident that the attacking midfielder has a good chance of making the trip to Brazil with Joachim Löw’s side.
“There is more than a small chance. There’s a big chance,” Wenger said when asked if Gnabry could be included in Germany’s squad.
“We are looking at a guy who has good individual talent, he can go past people, is a good finisher and has a very good football brain with good vision.
“I am not afraid with him. I have shown that against Tottenham – it was a big game. He has convinced many people that he at least deserves another chance.
“He was influential in that game, and until now when I played him he has always had an impact on the game.”
Gnabry has made eight appearances so far this season, including two starts in the Premier League.
MORE: Man United latest news
MORE: Arsenal latest news
MORE: Chelsea latest news
MORE: Liverpool latest news