Turkey has sparked controversy in the region after sending a survey ship into the eastern Mediterranean.
Ahead of the EU summit on December 10, NAVTEX orders were issued by the Turkish military.
The exercise will be held on Monday, in an adventurous move by the Turkish government in the southeast of the island of Crete.
NAVTEX messages are information sent to other ships to provide information on area activity.
The exercises will be held exclusively next week between Rhodes and the islands of Castellorio.
The current situation between Greece and Turkey is expected to be discussed at next week’s summit.
Earlier, Brussels threatened to impose sanctions on Turkey if it continued to take unilateral decisions in the waters.
Controversy surrounds Oruk Rees ship’s energy search, which returned to mainland two weeks ago.
The ship has conducted four separate research missions in the Eastern Mediterranean, with Ankara arguing that the area is on Turkey’s shelf and so on.
Speaking last week, the president of the Council of the European Union warned Tirkey that his actions in the water needed to end now.
He said: “I think the game of cat and mouse needs to end.
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Mr Macron has been one of the leading voices for sanctions against Turkey inside Europe.
He had earlier said: “When it comes to the sovereignty of the Mediterranean, I have to be consistent in word and deed.
“Germany and other partners are beginning to agree with us that Turkey’s agenda is difficult today.
“When six months ago people were saying that France alone was blaming Turkey for things, now everyone sees that there is a problem.”
Initially, after Greece and Egypt signed a maritime agreement, Turkey resumed surveys of energy consent in the region.
The agreement will now allow both to benefit from the resources available in a particular economic zone.
It was widely seen as a response to a similar agreement signed between Libya and Turkey.
Cyprus also plays an important role in enhancing relations as it resides in both Turkey and Greece.
The island was invaded in 1974 and has since been torn apart by any peace process that has resulted in clashes between Greece and Turkey.