Erdogan said Turkey would demand that Western countries return Gulen's supporters living there, and submit an extradition request for Gulen himself to the United States.
"We are confronted by a structure that doesn't take orders from within the chain of command of the state", parliament member and deputy AKP chairman Mahir Unal told CNN.
BRUSSELS-The response by Turkish President Recep Tayyip Erdogan to the country's military coup is "exactly what we have feared", the European Union's commissioner for enlargement said Monday.
The US has warned Turkey against public insinuations of American involvement in a failed military coup, saying such claims were utterly false and harmful to their relations.
Kerry reiterated US support for Turkey's democratically elected government, according to the State Department readout, and urged authorities to respect the rule of law and safeguard civilian life as they respond to the coup attempt.
Gulen has denied being behind the failed coup and denied knowledge of who might be responsible.
A few hundred Dutch Turks gathered on Saturday in the center of Rotterdam to demonstrate against the coup attempt in Turkey.
He said Turkey would resume operations with the US-led coalition once the anti-coup operations were completed. "Like the cancer virus, it spreads all around the government".
The crackdown is however not restricted to the military and Anadolu said prosecutors have issued arrest warrants for a total of 2,745 judges and prosecutors across Turkey.
"We fully anticipate that there will be questions raised about Mr. Gulen", Kerry told reporters.
Justice Minister Bekir Bozdag said today that around 6,000 people had been detained and the number would rise. They include senior figures like Erdal Ozturk, commander of the third army and commander of the Malatya-based second army Adem Huduti.
Some European politicians are also expressing concern about the future of a deal between the EU and Ankara that has helped to slow numbers of migrants crossing from the country to neighbouring Greece.
Turkish media reports say some of those who fled are believed to be among the architects of the coup.
But coups have gone out of fashion in Turkey, which previously had a record of 10-year coup cycles and poor economic performance that may have swayed even those who aren't really fond of Erdogan to support him against the would-be junta. "In a democracy, whatever the people want they will get".
Yildirim said those involved with the failed coup "will receive every punishment they deserve".
"We will never be a part of any plot against those who are governing our country", he wrote.
Erdogan attended a funeral on Sunday held for some of those killed during gunfire - including the brother of his chief adviser, Mustafa Varank. Prayers were read simultaneously from Turkey's 85,000 mosques at noon to honor those who died.
The president was overpowered by emotions and cried.
As many as 3,000 soldiers - including senior commanders in the Turkish armed forces - have been seized by authorities in response to the unrest, which killed at least 265 people and rattled the stability of a key Middle Eastern nation and important USA ally.
Mr Erdogan called on the United States to extradite Mr Gulen.
The opposition pro-Kurdish HD party has condemned the coup attempt, saying such action can not be the solution to serious problems faced in Turkey.
Turkey has closed its airspace in the wake of the coup attempt, grounding U.S. warplanes conducting combat missions against Islamic State (Isis) in neighbouring Syria from Incirlik in the country's south.