The president said Turkey's current constitution contains "indelible" traces of the "military tutelage".
The move is likely to reignite tensions with Greece over the sovereignty of waters in the eastern Mediterranean and ownership of natural resources.
Alexandros Diakopoulos said his comments — which he had later retracted — had “caused confusion and created a problem” for Greek prime minister Kyriakos Mitsotakis.
A source in the presidential palace has told Euronews' Turkish service that President Erdogan will be announcing the discovery of a new natural gas source in the Mediterranean on Friday.
The 4-metre-tall golden statue was erected on Monday evening as part of the Wiesbaden Biennale art festival.
Polls will usher in a new executive presidency, concentrating more powers in hands of president