"Turkey will emerge stronger from these [currency] fluctuations", Albayrak said in a conference call with thousands of foreign investors.
This has worsened a crisis for Turkey's currency, the lira, which has lost about a third of its value against the dollar since January. Brunson, who Turkish officials say had links to a failed 2016 coup, is being held under house arrest.
In an interview Wednesday with Anadolu Agency, Qatar's Ambassador to Turkey Salem bin Mubarak Al-Shafi said: "The state of Qatar is always proactive in supporting its Turkish brothers". If the Turkish government does not eventually agree to US demands and release him early, Brunson could spend 35 years in prison.
Turkey raises tariffs on US-origin products
The Turkish lira plummeted to a record low against the dollar this week, falling to 7.24 before recovering slightly. Turkey took the action in response to what it called the Trump's administration's attack on its economy.
The White House does not appear to be decreasing its pressure on Turkey to release Brunson.
The United States will take further action against Turkey if it continues to detain American pastor Andrew Brunson, Treasury Secretary Steven Mnuchin said Thursday in a sign that tensions between the North Atlantic Treaty Organisation allies will continue to escalate over the issue.
The row has put enormous pressure on Turkey's currency, the lira.
Gold prices shed over one per cent on Thursday.
Manafort trial moves to defense as U.S. prosecutors wrap up
Gates was forced to admit embezzling hundreds of thousands of dollars from Manafort and an extramarital affair. The closed hearing came after the judge delayed Manafort's trial for hours last Friday without explanation.
The government announced the tariffs "under the principle of reciprocity", following sanctions imposed by Washington over the detention of an American pastor, which sent the lira tumbling to record lows against the dollar.
Qatar, backed by Erdogan during the Saudi-led embargoes on the emirate in 2017, on Wednesday pledged to channel $15 billion direct investment into Turkey, a sign of burgeoning ties between the two countries.
Erdogan has said Turkey is the target of an economic war, and he has made repeated calls for Turks to sell their dollars and euros to shore up the currency. "But hypothetically speaking, ...if one of our public banks need help, the government will stand strong by it for sure".
The pastor row is one of several between the North Atlantic Treaty Organisation allies, including diverging interests in Syria and USA objections to Ankara's ambition to buy Russian defense systems, that have contributed to instability in Turkish financial markets.
Measures taken by Turkey's central bank also helped the lira rebound, such as cracking down on foreigners aiming to short the currency. "We will boycott the electronics products of the U.S".
Turkey hopes to find solution on Syria's Idlib with Russia
Referring to the latest diplomatic fall out with Washington, the Turkish FM said Ankara would continue its "constructive engagement".