Mikel Arteta believes Arsenal will welcome Jack Wilshere back with open arms in future after the Gunners academy product joined Danish side AGF.

The 30-year-old signed for the Aarhus-based team on a short-term deal initially, but an option to extend that contract by one year exists, with Wilshere desperate to prove himself after falling off the footballing map.

Arsenal favourite Wilshere, who began his career with the Gunners and helped the club win the FA Cup twice, has been without a team since leaving Bournemouth at the end of last season.

He was a teenage wonder with Arsenal, making his debut as a 16-year-old in 2008, but injuries have blighted his career in recent years. Prior to making the move to Denmark, Wilshere had been training with Arsenal in an effort to build up his fitness.

Following completion of the deal, Arteta was asked about the prospect of Wilshere potentially returning in a coaching capacity, and the manager was unequivocal in his response.

"One hundred per cent," Arteta told reporters. "I think everyone at the club would be willing to open the doors for him and try to find a role for him that would work for everybody. I think that will happen naturally in the future.

"It's been great to have him, and I think I'm speaking on behalf of everybody and the club, it's been absolutely a pleasure to have Jack back.

"To enjoy watching him play next to us, to have him around, the inspiration that he is for all the young people. Hopefully, we can help him – we have helped him a little bit as well – because he had some doubts with what to do, whether to start coaching or continue playing.

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"I think this group of players have given him again that necessity to experience on a daily basis how magnificent it is to feel like a football player, and I think he wants to experience that again. We wish him the best of luck."

Emile Smith Rowe was among the Arsenal players to wish Wilshere luck for his new adventure on Instagram this week, with the attacking midfielder following a similar route to his compatriot.

Smith Rowe also came through the club's academy and appears set for a big future at Emirates Stadium and with England.

He scored Arsenal's first in the 2-1 weekend win over Brentford, taking his Premier League tally to nine goals from just 15 starts. Arteta does not think this is a fluke, though he did not want to put Smith Rowe's rise down to any one aspect.

"I think it's a combination of everything," Arteta said when asked if England recognition had been a factor in Smith Rowe's form.

"It's in his nature. Obviously, he needs to feel that confidence around the coaching staff, that we are the right people to guide him and take him to the next level.

"He needs his team-mates because they are big contributors to what he can do on the pitch. He needs to feel loved, have the right environment around him – his family, girlfriend, whatever is next to him – and when that happens he's got a good chance.

"The numbers should be looking something like this and it's not a coincidence. He's practising every day, he's working, he's open. He has willingness to do it because he knows he has the qualities and capacity to do it and that's what we have to demand from players whether they are 19, 20, or 35."