But Inamoto has suggested that he is keen to continue his career in Europe and Feyenoord are at the front of the queue of clubs wanting to sign him.
"We have been monitoring Inamoto's situation at Arsenal," Feyenoord general manager Rob Baan told his club's official website.
"We
have been interested in Inamoto since (Shinji) Ono signed for
us."
But first Gamba Osaka will try to persuade the midfielder to return to Japan.
"We will have talks about his future and they will include the possibility of his return to Gamba Osaka," said a club statement issued by the J-League outfit.
The statement added that Wenger, who is in Japan
working as a commentator at the World Cup, had met with the player and agreed that he could leave.
Inamoto became the first Japanese player to join an English club last summer but he only featured in four matches for Arsenal last season - two in the Champions League and two in the English League Cup.
The 22-year-old has made a much bigger impact at international level, scoring two goals against Belgium and Russia to help Japan reach the second round of the World Cup.