Wilshere has played 33 games in the last two years thanks to several serious injuries and has not played a full 90 minutes this summer, but that has been because Arsenal want to reintegrate the midfielder slowly because of his injury history.
Wilshere's latest appearance came on Wednesday night for England at Wembley, where he put in an all-action display during the 45 minutes he had on the pitch.
Oxlade-Chamberlain has never enjoyed a full season playing alongside Wilshere because of his injury troubles so he is happy that the midfielder is now nearing full fitness.
"Football has missed someone like Jack," Oxlade-Chamberlain said.
"Someone that can do that on the ball is always welcome in the game of football.
"The way he can break from midfield is fantastic and any team would love to have players that can do that. Jack has done really well.
"I have seen that all pre-season. It never comes as a surprise to me to see Jack beating players, ghosting past, that's what he does so fantastically and just to see him keep doing that is what really excites me.
"It's really good to see as my friend and team-mate, it's good to see him play really well."
Despite grandiose statements from Arsene Wenger and Ivan Gazidis at the end of last season, Arsenal have been quiet in the market this summer, with Auxerre striker Yana Sanogo the only player to sign for the Gunners.
Arsenal look to have missed out on the signing of Luis Suarez from Liverpool despite two big-money bids while Bayern Munich midfielder Luis Gustavo looks to have chosen to sign for Wolfsburg ahead of the north London club.
Speculation continues as to who Arsenal may sign this summer, but Oxlade-Chamberlain is ignoring such talk.
"I'm not interested," the 20-year-old said. "I'm just focusing on me and my team. You hear about what is going on but it's out of your control.
"The more you get wound up on that the less focused you are on your job and that's making sure the boys that are in our squad are ready to hit the ground running on Saturday."
Saturday will see Arsenal open their campaign against Aston Villa. Given that the Gunners had to claw back a nine-point deficit to make the Champions League last season, Oxlade-Chamberlain wants the team to start this campaign with a bang.
"We want to hit the ground running," said Oxlade-Chamberlain, who was a second-half substitute in England's win over Scotland on Wednesday night.
"With the Champions League qualifier early on, the start of the season is going to be tough for us.
"We need to take in the momentum from last year.
"Ever since pre-season most of our boys have looked really sharp so I'm really looking forward to the start of the season and Villa at home on Saturday."