After reports that the U.S. would sanction individuals over the case, the lira hit a record low of 5.01 against the dollar, before rallying slightly to 4.9.
"Since the beginning we have said that a solution can not be reached by using threatening language and sanctions", the minister added.
"The Turks were on notice that the clock had run out and it was time for Pastor Brunson to be returned and I hope they'll see this for what it is: a demonstration that we're very serious", he told reporters aboard his plane as he flew to Singapore from Kuala Lumpur, Malaysia.
NASA scientist Serkan Golge, a U.S.
Cavusoglu told Turkish press that the meeting was "constructive", but also spoke out against the sanctions.
The standoff appears to be one of the most serious crises between Turkey and the United States in modern history, along with the rows over the 1974 Turkish invasion of Cyprus and the 2003 US-led invasion of Iraq.
He urged the Turkish government to release Andrew Craig Brunson, the American pastor detained in Turkey since December 2016 on espionage and terror-related charges, which both Brunson and the USA vehemently deny. Speculative actions in financial markets following the announcement of the sanctions would be rendered void, he said.
Turkish Foreign Minister Mevlut Cavusoglu was quoted by media Friday as saying that Ankara was preparing to respond to Washington in equal measures. "We repeated this today", he said after a meeting with the US Secretary of State Mike Pompeo in Singapore.
Cavusoglu, however, said both the countries have agreed to work together.
The two NATO allies have been at loggerheads over Turkey's detention of a North Carolina-born Christian pastor on terror charges.
He is accused of carrying out activities on behalf of two groups viewed by Ankara as terrorists: the movement of the US-led Muslim preacher Fethullah Gulen blamed for the July 2016 coup attempt and the Kurdistan Workers' Party (PKK).
The Turkish lira on Wednesday slumped to record lows of 5.0 against the dollar as the U.S. hit Turkey's justice and interior ministers with sanctions over the case of an American pastor on trial for terror-related charges. Americans would generally be prohibited from doing business with them. He risks up to 35 years in prison if found guilty.