Wilshere returned to the Arsenal first team last season after over a year out with an ankle injury, but as the Gunners prepare for the new campaign, Oxlade-Chamberlain is excited for the midfielder to further improve for the upcoming campaign.
The 19-year-old told the London Evening Standard: "Jack is back in training and looking really good. He is obviously coming away with us on tour today and the fact that he is looking so strong is good news for Arsenal and England.
"Hopefully, he can stay fit because he is an amazing player and can add a lot to our team. Is he the best kind of signing we can make? Yes.
"Everyone is important. Whenever you lose someone it dents the team in some way. If we can keep him fit, it will give us a lot more options and enhances competition for places."
Arsenal begin their Premier League season with a home match against Aston Villa.