The teenager has been making great progress with the Gunners and now could be set for a national team call-up as the Italian coach looks for a replacement for Keisuke Honda
Following Japan's 1-1 draw in Tashkent on Tuesday against Uzbekistan, Zaccheroni and his Japan-based players returned home on Wednesday.
With just over a month before Japan host Tajikistan at Osaka's Nagai Stadium, Zaccheroni is said to have immediately began considering how to rebuild the Blue Samurai's confidence after they failed to win easily against North Korea or Uzbekistan.
Coaching staff have been dispatched to England to observe Miyaichi's play for the Premier League club, who are off to a slow start with one point from the first three matches of the season.
Miyaichi was signed straight out of high school by the Gunners, who loaned the talented winger to Feyenoord until they were able to get him British work permit.
The Japanese scored three goals from 12 appearances in the Eredivisie before acquiring his work papers and returning to the Emirates clubhouse for the 2011-12 campaign.
Zaccheroni has praised who he believes to be one of Japan's future stars, calling Miyaichi a "player to watch out for."
Playmaker Shinji Kagawa, who failed to score in the two qualifying matches held this week, said: "[Honda's absence] was felt by everyone on the field."
Kagawa stressed the need for a short-term solution while the CSKA Moscow striker recovers from knee surgery.
After attackers Yosuke Kashiwagi, Hiroshi Kiyotake, and Mike Havenaar all made their World Cup qualifying debuts for Japan, it appears that Miyaichi will be the next to don the blue kit.