The 22 year old scored twice in Japan's 3-0 trouncing of South Korea in Sapporo last month in a friendly when he made his return to the national team.
"Kagawa is a very mobile player, he is very clever, very creative and is very quick in the box and that is why he is a proven goal-scorer," said Wenger.
"Miyaichi is not here, he is just coming back from injury and is playing for the reserves on Tuesday at Bolton.
"But both are very interesting players, I think it just shows what is happening all over the world at the moment, the push of Asian football towards the top quality.
"We saw it at the World Cup last year where teams like Japan did very well, along with North and South Korea. Asian football is pushing hard.
"We were in China before the start of the season and we saw some very good young players there too."