"I think that the time has come to return to the normal relations [between Turkey and Germany]," Simsek told the Bild newspaper in an interview.
The relations between Berlin and Ankara became tense after German-Turkish journalist Deniz Yucel was arrested in Istanbul in February over alleged links to a terrorist organization and terrorist propaganda.
Relations between Turkey and a number of European countries, including Germany, have further deteriorated recently after several pro-referendum rallies, which were to be held by Turkish officials in efforts to gain support from Turkish citizens living abroad in a bid to expand the presidential powers, were canceled in Germany, the Netherlands and Switzerland. Following such bans, Turkish President Recep Tayyip Erdogan compared German, and later, Dutch, authorities to Nazis.