Mr Erdogan also wrote in the New York Times that unless the United States changed course, Turkey would look for new friends and allies.
On August 1 Washington announced sanctions against Turkey's justice and interior ministers, prohibiting United States entities and citizens from doing business with them, after threatening to impose "large sanctions" if Ankara failed to free Brunson.
The Turkish foreign ministry hit back at Trump's comments, saying that the "only result will be harming our relationship" and vowing unspecified retaliation. That caused a further drop in the lira.
Relations between Washington and Turkish President Recep Tayyip Erdogan also have worsened because of the detention of three locally employed United States consular workers, trade matters and differences over Syria.
Turkey's lira sank as low as 20 percent against the USA dollar Friday before settling at a 15 percent drop.
Erdogan reportedly was defiant, telling worshipers after Friday prayers that Turkey "will not lose the economic war". Further downside for the lira and weakness in domestic bank bonds could accelerate the withdrawal of wholesale funding in an economy which needs to attract overseas capital.
"The basic reason the exchange rate has gone off the rails is that confidence in the management of the economy has disappeared both domestically and overseas", said Seyfettin Gursel, a prominent economist and a professor at Turkey's Bahcesehir University.
Dozens dead in Yemen after school bus carrying children hit by airstrike
The missile was sacked from the rebel-held Yemeni province of Amran towards the Saudi city of Jizan, the coalition said. The coalition, which is backing Yemen's government in a war with the Houthis, said its actions were "legitimate".
Erdogan, who says a shadowy "interest rate lobby" and Western credit ratings agencies are attempting to undermine Turkey's economy, said Turks should exchange their gold and dollars into lira to help the currency. Indeed, through Thursday, the Turkish lira had lost 32 percent of its value against the dollar just since the beginning of the year. The plunge in the value of the currency coupled with an inflation rate of almost 16% could cause a lot of damage to Turkey's economy. Lindsey GrahamLindsey Olin GrahamGOP lawmaker: Every white suburban district in the country will be a swing district this year The Hill's Morning Report - Trump to GOP: I will carry you GOP senator: "Real likelihood" Dems win the House "by 10 or 12 more seats than they need" MORE (R-S.C.) tweeted Friday.
"With EMEA a source of geopolitical risk, we think it will be hard for the ZAR to also stabilise - in effect the Rand's source of market risk has shifted from a weaker CNY to a weaker TRY and RUB", says foreign exchange strategist Viraj Patel with ING Bank N.V.
He told CNBC: "It has pushed down the lira and the euro as well".
The Turkish delegation visiting Washington earlier this week to discuss Brunson pushed for the delivery of the F-35s, a US official familiar with both sides' positions said. Inflation increased 16 percent in July, and Erdogan has insisted that interest rates not increase.
Turkey's woes have been aggravated by investor worries about the economic policies of Mr Erdogan, who won a new term in office in June with sweeping new powers.
"The surge in Turkish inflation, bond yields and the even more dramatic plunge in Turkey's exchange rate in 2018 suggest that the country could now be in danger of heading for a bust", Berenberg economist Carsten Hesse said. "If they have their dollar, we have the people, we have Allah".
This situation has led the European Central Bank to sound alarm bells warning that Turkey's currency problems could infect Europe's banks.
Albayrak, who formerly served as energy minister, on Friday announced what he has described as a "new economic model" for Turkey but he focused on macro-economic issues and steered well clear of tackling the currency crisis. Gultekin hopes that some sort of compromise between Turkey and the USA can be reached, enabling Erdogan to have an "honourable exit" and come up with a substitute for the International Monetary Fund stabilisation programmes of previous crises.