Gundogan’s contract is set to expire at the end of the season but his future is yet to be sorted out ahead of the summer.
Manchester City manager Pep Guardiola is pushing for him to stay but the 32-year-old has not made up his mind yet.
Barcelona have a long-standing interest in the player but it has been claimed that even Arsenal are in the fray for Gundogan.
Arteta worked with the German during his time at the Etihad and is driving Arsenal’s interest in signing him.
With Granit Xhaka’s future at the club in doubt, the Arsenal boss wants a player of Gundogan’s experience to replace the Swiss if he leaves.
Arsenal signed Gabriel Jesus and Oleksandr Zinchenko from the Premier League champions last summer.
Gundogan is a player Arteta admires and he is pushing to take the German to the Emirates.
The midfielder is still weighing up his options and will consider every possibility on his table over the coming weeks.