I think not any personal verbal agreement reached between Barcelona and İlkay Gündoğan, actually Manchester City success signing Chelsea midfielder Mateo Kovačić will replace position leaving İlkay Gündoğan but still not confirm yet which one team will play next season. Not only Barcelona but also Arsenal and PSG has announced interested for signing İlkay Gündoğan next season.
Arsenal may be the best option for İlkay at first glance. Arteta is Pep's former student. If he transfers to Arsenal, he will not have any tactical problems. But that means he was transferred from the champion team to the second team. This is a tough choice. That's why he might consider leaving the Premier League. And for that reason PSG might be a good option for him. As a result, he can play for a few more years in the top leagues in Europe. He showed everyone that he can do this with his performance in the last matches. I think Manchester City made a mistake by not offering him a 2 or 3 year contract. When they lose İlkay, they will understand his value more.