Speaking to his supporters on Tuesday, Erdogan slammed the United States for using the economy as a "weapon" and said the Turkey was facing an "economic attack" and a "bigger, deeper operation". He ruled out any move to limit money flows - which is a possibility that worries investors - or any assistance from the International Monetary Fund.
"We can solve issues with the United States very easily, but not with the current approach", Mevlut Cavusoglu told a news conference in Ankara late on Thursday.
Last Friday, the USA doubled tariffs on Turkish steel and aluminum exports in order to increase pressure on Erdogan.
In an article for the New York Times, published last Friday, the Turkish leader said Turkey "had rushed to America's help whenever necessary" in various times, from the Cold War to the more recent conflicts in Afghanistan, Iraq and Syria.
Following the Qatar news, the lira firmed briefly to 5.8699 from 6.04 to the dollar, before easing back to 6.0500 by 1658 GMT.
Al-Shehri said Ankara appeared to have blackmailed Qatar into supporting it.
Mr Albayrak will also meet his German counterpart Olaf Scholz in Berlin on Sept 21. The Treasury Department earlier this month levied sanctions on two senior Turkish officials in retaliation for Brunson's continued detention.
That case has increased speculation that the bank itself could be fined for sanctions-busting.
Halkbank has said all of its transactions were lawful and Mr Albayrak played down the risk.
"Pastor Andrew Brunson is an innocent man held in Turkey & justice demands that he be released".
Trump later said in a tweet the United States "will pay nothing" for Brunson's release, "but we are cutting back on Turkey!" "I'm not going to get ahead of anything on what we may or may not do in an effort to respond.".
In reality, a number of issues have come between the two North Atlantic Treaty Organisation allies, not least Turkey's plan to purchase the Russian-made S-400 anti-aircraft weapons system.
US stocks and emerging market currencies rebounded on Thursday after China said it will hold trade talks with the United States later in August and Turkey's lira continued its recovery.
President Recep Tayyip Erdogan has accused the United States of waging a targeted economic war on his country, and on Tuesday he proposed a boycott of US electronic goods.
The Shanghai composite index rose 0.16 percent in early Friday trade after ending down 0.66 percent at 2,705.19 on Thursday, just 0.03 point above a 2-1/2 year closing low set on August 6.